-
1
-
-
1342273361
-
Ergebnisse der Mathematik und ihrer Grenzgebiete
-
Springer-Verlag, New York
-
E. M. Alfsen. Compact convex sets and boundary integrals. Springer-Verlag, New York, 1971. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 57.
-
(1971)
Compact Convex Sets and Boundary Integrals
, vol.57
-
-
Alfsen, E.M.1
-
3
-
-
0035246778
-
Classical topology and quantum states
-
quant-ph/0002055
-
A. P. Balachandran, Classical topology and quantum states. Pramana 56 (2001) 223-237. quant-ph/0002055.
-
(2001)
Pramana
, vol.56
, pp. 223-237
-
-
Balachandran, A.P.1
-
4
-
-
0034732580
-
Quantum topology change in (2 + 1)d
-
hep-th/9905136
-
A. P Balachandran, E. Batista, I. P. Costa e Silva, and P. Teotonio-Sobrinho. Quantum topology change in (2 + 1)d. Int.J.Mod.Phys. A15 (2000), 1629-1660. hep-th/9905136.
-
(2000)
Int.J.Mod.Phys.
, vol.A15
, pp. 1629-1660
-
-
P Balachandran, A.1
Batista, E.2
Costa e Silva, I.P.3
Teotonio-Sobrinho, P.4
-
5
-
-
0034697611
-
The Fermion doubling problem and noncommutative geometry
-
hep-th/9911087
-
A. P. Balachandran, T. R. Govindarajan, and B. Ydri. The Fermion doubling problem and noncommutative geometry. Modern Phys. Lett. A 15 (2000), no. 19, 1279-1286. hep-th/9911087.
-
(2000)
Modern Phys. Lett. A
, vol.15
, Issue.19
, pp. 1279-1286
-
-
Balachandran, A.P.1
Govindarajan, T.R.2
Ydri, B.3
-
6
-
-
0642363984
-
M theory as a matrix model: A conjecture
-
hep-th/9610043
-
T. Banks, W. Fischler, S. H. Shenker, and L. Susskind. M theory as a matrix model: a conjecture. Phys. Rev. D (3) 55(8) (1997), 5112-5128. hep-th/9610043.
-
(1997)
Phys. Rev. D (3)
, vol.55
, Issue.8
, pp. 5112-5128
-
-
Banks, T.1
Fischler, W.2
Shenker, S.H.3
Susskind, L.4
-
7
-
-
0004227619
-
-
Academic Press Professional, Boston, MA, second edition
-
M. F. Barnsley, Fractals everywhere. Academic Press Professional, Boston, MA, second edition, 1993.
-
(1993)
Fractals Everywhere
-
-
Barnsley, M.F.1
-
8
-
-
17044438686
-
Noncommutative geometry on a discrete periodic lattice and gauge theory
-
hep-th/9910091
-
I. Bars and D. Minic. Noncommutative geometry on a discrete periodic lattice and gauge theory. Phys. Rev. D (3) 62 (2000), no. 10, 105018. hep-th/9910091.
-
(2000)
Phys. Rev. D (3)
, vol.62
, Issue.10
, pp. 105018
-
-
Bars, I.1
Minic, D.2
-
9
-
-
0002299746
-
The tangent space in sub-Riemannian geometry
-
Birkhäuser, Basel
-
A. Bellaïche. The tangent space in sub-Riemannian geometry. In Sub-Riemannian geometry, pages 1-78. Birkhäuser, Basel, 1996.
-
(1996)
Sub-riemannian Geometry
, pp. 1-78
-
-
Bellaïche, A.1
-
10
-
-
0000859258
-
Déformations de C*-algè;bres de Hopf
-
É. Blanchard. Déformations de C*-algè;bres de Hopf. Bull. Soc. Math. France 124(1) (1996), 141-215.
-
(1996)
Bull. Soc. Math. France
, vol.124
, Issue.1
, pp. 141-215
-
-
Blanchard, É.1
-
11
-
-
84974450804
-
Compact metric spaces, Fredholm modules, and hyperfiniteness
-
A. Connes. Compact metric spaces, Fredholm modules, and hyperfiniteness. Ergodic Theory Dynamical Systems 9(2) (1989), 207-220.
-
(1989)
Ergodic Theory Dynamical Systems
, vol.9
, Issue.2
, pp. 207-220
-
-
Connes, A.1
-
13
-
-
21844496057
-
Noncommutative geometry and reality
-
A. Connes. Noncommutative geometry and reality. J. Math. Phys. 36(11) (1995), 6194-6231.
-
(1995)
J. Math. Phys.
, vol.36
, Issue.11
, pp. 6194-6231
-
-
Connes, A.1
-
14
-
-
0030359659
-
Gravity coupled with matter and the foundation of non-commutative geometry
-
A. Connes. Gravity coupled with matter and the foundation of non-commutative geometry. Comm. Math. Phys. 182(1) (1996), 155-176.
-
(1996)
Comm. Math. Phys.
, vol.182
, Issue.1
, pp. 155-176
-
-
Connes, A.1
-
15
-
-
0041524804
-
Noncommutative geometry and matrix theory: Compactification on tori
-
Paper 3. hep-th/9711162
-
A. Connes, M. R. Douglas, and A. Schwarz. Noncommutative geometry and matrix theory: compactification on tori. J. High Energy Phys. 1998(2) (1998) Paper 3. hep-th/9711162.
-
(1998)
J. High Energy Phys.
, vol.1998
, Issue.2
-
-
Connes, A.1
Douglas, M.R.2
Schwarz, A.3
-
16
-
-
0036026977
-
Noncommutative finite-dimensional manifolds I: Spherical manifolds and related examples
-
QA/0107070
-
A. Connes and M. Dubois-Violette, Noncommutative finite-dimensional manifolds I: spherical manifolds and related examples. Comm. Math. Phys. 230 (2002), no. 3, 539-579. QA/0107070.
-
(2002)
Comm. Math. Phys.
, vol.230
, Issue.3
, pp. 539-579
-
-
Connes, A.1
Dubois-Violette, M.2
-
17
-
-
0000595944
-
Noncommutative manifolds, the instanton algebra and isospectral deformations
-
QA/0011194
-
A. Connes and G. Landi, Noncommutative manifolds, the instanton algebra and isospectral deformations. Comm. Math. Phys. 221(1) (2001), 141-159. QA/0011194.
-
(2001)
Comm. Math. Phys.
, vol.221
, Issue.1
, pp. 141-159
-
-
Connes, A.1
Landi, G.2
-
19
-
-
0003687916
-
-
Éditions Jacques Gabay, Paris. Reprint of the second (1969) edition
-
J. Dixmier. Les C*-algèbres et leurs représentations. Éditions Jacques Gabay, Paris, 1996. Reprint of the second (1969) edition.
-
(1996)
Les C*-algèbres et Leurs Représentations
-
-
Dixmier, J.1
-
20
-
-
0030542316
-
Quantum mechanics as a matrix symplectic geometry
-
A. E. F. Djemai. Quantum mechanics as a matrix symplectic geometry. Internat. J. Theoret. Phys. 35(3) (1996), 519-556.
-
(1996)
Internat. J. Theoret. Phys.
, vol.35
, Issue.3
, pp. 519-556
-
-
Djemai, A.E.F.1
-
21
-
-
0004235090
-
-
The Clarendon Press Oxford University Press, New York
-
E. G. Effros and Z.-J. Ruan. Operator spaces. The Clarendon Press Oxford University Press, New York, 2000.
-
(2000)
Operator Spaces
-
-
Effros, E.G.1
Ruan, Z.-J.2
-
22
-
-
0003428560
-
-
Academic Press Inc., Boston, MA
-
J. M. G. Fell and R. S. Doran. Representations of *-algebras, locally compact groups, and Banach *-algebraic bundles. Vol. 1. Academic Press Inc., Boston, MA, 1988.
-
(1988)
Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles
, vol.1
-
-
Fell, J.M.G.1
Doran, R.S.2
-
23
-
-
0002639812
-
Hausdorff convergence of Riemannian manifolds and its applications
-
Academic Press, Boston, MA
-
K. Fukaya. Hausdorff convergence of Riemannian manifolds and its applications. In Recent topics in differential and analytic geometry, pages 143-238. Academic Press, Boston, MA, 1990.
-
(1990)
Recent Topics in Differential and Analytic Geometry
, pp. 143-238
-
-
Fukaya, K.1
-
24
-
-
0003737316
-
-
Birkhäuser Boston Inc., Boston, MA
-
J. M. Gracia-Bondía, J. C. Várilly, and H. Figueroa. Elements of noncommutative geometry. Birkhäuser Boston Inc., Boston, MA, 2001.
-
(2001)
Elements of Noncommutative Geometry
-
-
Gracia-Bondía, J.M.1
Várilly, J.C.2
Figueroa, H.3
-
25
-
-
51649160427
-
Groups of polynomial growth and expanding maps
-
M. Gromov. Groups of polynomial growth and expanding maps. Inst. Hautes Études Sci. Publ. Math. (53) (1981), 53-73.
-
(1981)
Inst. Hautes Études Sci. Publ. Math.
, vol.53
, pp. 53-73
-
-
Gromov, M.1
-
27
-
-
0001129349
-
On finite 4D quantum field theory in noncommutative geometry
-
hep-th/9602115
-
H. Grosse, C. Klimčík, and P. Prešnajder. On finite 4D quantum field theory in noncommutative geometry. Comm. Math. Phys. 180(2) (1996), 429-438. hep-th/9602115.
-
(1996)
Comm. Math. Phys.
, vol.180
, Issue.2
, pp. 429-438
-
-
Grosse, H.1
Klimčík, C.2
Prešnajder, P.3
-
28
-
-
0001588032
-
Field theory on the q-deformed fuzzy sphere I
-
hep-th/0005273
-
H. Grosse, J. Madore, and H. Steinacker. Field theory on the q-deformed fuzzy sphere I. J. Geom. Phys. 38 (2001), no. 3-4, 308-342. hep-th/0005273.
-
(2001)
J. Geom. Phys.
, vol.38
, Issue.3-4
, pp. 308-342
-
-
Grosse, H.1
Madore, J.2
Steinacker, H.3
-
29
-
-
0036201790
-
Fuzzy line bundles, the Chern character and topological charges over the fuzzy sphere
-
math-ph/0105033
-
H. Grosse, C. Rupp, and A. Strohmaier. Fuzzy line bundles, the Chern character and topological charges over the fuzzy sphere. J. Geom. Phys. 42 (2002), no. 1-2, 54-63. math-ph/0105033.
-
(2002)
J. Geom. Phys.
, vol.42
, Issue.1-2
, pp. 54-63
-
-
Grosse, H.1
Rupp, C.2
Strohmaier, A.3
-
30
-
-
0002514722
-
Representation rings as invariants for compact groups and limit ratio theorems for them
-
D. Handelman, Representation rings as invariants for compact groups and limit ratio theorems for them. Internat. J. Math. 4(1) (1993), 59-88.
-
(1993)
Internat. J. Math.
, vol.4
, Issue.1
, pp. 59-88
-
-
Handelman, D.1
-
31
-
-
0033239501
-
Quantization of equivariant vector bundles
-
math.QA/9708030
-
E. Hawkins. Quantization of equivariant vector bundles. Comm. Math. Phys. 202 (1999),517-546. math.QA/9708030.
-
(1999)
Comm. Math. Phys.
, vol.202
, pp. 517-546
-
-
Hawkins, E.1
-
32
-
-
0034349547
-
Geometric quantization of vector bundles and the correspondence with deformation quantization
-
math.QA/9808116 and math.QA/9811049
-
E. Hawkins. Geometric quantization of vector bundles and the correspondence with deformation quantization. Comm. Math. Phys. 215 (2000), no. 2, 409-432. math.QA/9808116 and math.QA/9811049.
-
(2000)
Comm. Math. Phys.
, vol.215
, Issue.2
, pp. 409-432
-
-
Hawkins, E.1
-
33
-
-
0035952414
-
Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity
-
hep-th/0004072
-
P.-M. Ho and M. Li. Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity. Nuclear Phys. B 596 (2001), no. 1-2, 259-272. hep-th/0004072.
-
(2001)
Nuclear Phys. B
, vol.596
, Issue.1-2
, pp. 259-272
-
-
Ho, P.-M.1
Li, M.2
-
35
-
-
33744736350
-
Torus-like dielectric d2-brane
-
Paper 13. hep-th/0103146
-
Y. Hyakutake. Torus-like dielectric d2-brane. J. High Energy Phys. 2001, no. 5, Paper 13. hep-th/0103146.
-
(2001)
J. High Energy Phys.
, Issue.5
-
-
Hyakutake, Y.1
-
36
-
-
0003051136
-
Distances in finite spaces from noncommutative geometry
-
hep-th/9912217
-
B. Iochum, T. Krajewski, and P. Martinetti. Distances in finite spaces from noncommutative geometry. J. Geom. Phys. 37 (2001), no. 1-2, 100-125. hep-th/9912217.
-
(2001)
J. Geom. Phys.
, vol.37
, Issue.1-2
, pp. 100-125
-
-
Iochum, B.1
Krajewski, T.2
Martinetti, P.3
-
37
-
-
0003249219
-
A representation theory for commutative topological algebra
-
R. V. Kadison. A representation theory for commutative topological algebra. Mem. Amer. Math. Soc. 1951(7):39, 1951.
-
(1951)
Mem. Amer. Math. Soc.
, vol.1951
, Issue.7
, pp. 39
-
-
Kadison, R.V.1
-
38
-
-
0003601581
-
-
American Mathematical Society, Providence, RI. Elementary theory, Reprint of the 1983 original
-
R. V. Kadison and J. R. Ringrose. Fundamentals of the theory of operator algebras. Vol. I. American Mathematical Society, Providence, RI, 1997. Elementary theory, Reprint of the 1983 original.
-
(1997)
Fundamentals of the Theory of Operator Algebras
, vol.1
-
-
Kadison, R.V.1
Ringrose, J.R.2
-
42
-
-
7744220370
-
Moduli spaces of maximally supersymmetric solutions on noncommutative tori and noncommutative orbifolds
-
Paper 5. hep-th/0005174
-
A. Konechny and A. Schwarz. Moduli spaces of maximally supersymmetric solutions on noncommutative tori and noncommutative orbifolds. J. High Energy Phys. 2000, no. 9, Paper 5. hep-th/0005174.
-
J. High Energy Phys.
, vol.2000
, Issue.9
-
-
Konechny, A.1
Schwarz, A.2
-
43
-
-
0037507163
-
Homological mirror symmetry and torus fibrations
-
World Sci. Publishing, River Edge, NJ. math. SG/0011041
-
M. Kontsevich and Y. Soibelman. Homological mirror symmetry and torus fibrations. Symplectic geometry and mirror symmetry (Seoul, 2000), 203-263, World Sci. Publishing, River Edge, NJ, 2001. math.SG/0011041.
-
(2001)
Symplectic Geometry and Mirror Symmetry (Seoul, 2000)
, pp. 203-263
-
-
Kontsevich, M.1
Soibelman, Y.2
-
48
-
-
0037104046
-
Collapsing and the differential form Laplacian
-
math.DG/9902111
-
J. Lott. Collapsing and the differential form Laplacian. Duke Math. J. 114 (2002), no. 2, 267-306. math.DG/9902111.
-
(2002)
Duke Math. J.
, vol.114
, Issue.2
, pp. 267-306
-
-
Lott, J.1
-
49
-
-
0141788272
-
Collapsing and Dirac-type operators
-
math.DG/0005009
-
J. Lott. Collapsing and Dirac-type operators. Geom. Dedicata 91 (2002), 175-196. math.DG/0005009.
-
(2002)
Geom. Dedicata
, vol.91
, pp. 175-196
-
-
Lott, J.1
-
51
-
-
0032391187
-
Topology at the Planck length
-
gr-qc/9708053
-
J. Madore and L. A. Saeger. Topology at the Planck length. Classical Quantum Gravity 15 (1998), no. 4, 811-826. gr-qc/9708053.
-
(1998)
Classical Quantum Gravity
, vol.15
, Issue.4
, pp. 811-826
-
-
Madore, J.1
Saeger, L.A.2
-
53
-
-
0042855367
-
A deformation quantization procedure for C*-algebras
-
G. Nagy. A deformation quantization procedure for C*-algebras. J. Operator Theory 44(2) (2000), 369-411.
-
(2000)
J. Operator Theory
, vol.44
, Issue.2
, pp. 369-411
-
-
Nagy, G.1
-
54
-
-
84966260890
-
Isometries of noncommutative metric spaces
-
E. Park. Isometries of noncommutative metric spaces. Proc. Amer. Math. Soc. 123(1) (1995), 97-105.
-
(1995)
Proc. Amer. Math. Soc.
, vol.123
, Issue.1
, pp. 97-105
-
-
Park, E.1
-
55
-
-
0039464177
-
Isometries of unbounded Fredholm modules over reduced group C*-algebras
-
E. Park. Isometries of unbounded Fredholm modules over reduced group C*-algebras. Proc. Amer. Math. Soc. 123(6) (1995), 1839-1843.
-
(1995)
Proc. Amer. Math. Soc.
, vol.123
, Issue.6
, pp. 1839-1843
-
-
Park, E.1
-
56
-
-
0035534823
-
Continuous-trace C*-algebras not isomorphic to their opposite algebras
-
N. C. Phillips. Continuous-trace C*-algebras not isomorphic to their opposite algebras. Internal. J. Math. 12 (2001), no. 3, 263-275.
-
(2001)
Internal. J. Math.
, vol.12
, Issue.3
, pp. 263-275
-
-
Phillips, N.C.1
-
58
-
-
0000036595
-
Projective modules over higher-dimensional noncommutative tori
-
M. A. Rieffel. Projective modules over higher-dimensional noncommutative tori. Canad. J. Math. 40(2) (1988), 257-338.
-
(1988)
Canad. J. Math.
, vol.40
, Issue.2
, pp. 257-338
-
-
Rieffel, M.A.1
-
59
-
-
0000626911
-
Continuous fields of C*-algebras coming from group cocycles and actions
-
M. A. Rieffel. Continuous fields of C*-algebras coming from group cocycles and actions. Math. Ann. 283(4) (1989), 631-643.
-
(1989)
Math. Ann.
, vol.283
, Issue.4
, pp. 631-643
-
-
Rieffel, M.A.1
-
60
-
-
0001343595
-
Noncommutative tori - A case study of noncommutative differentiable manifolds
-
Amer. Math. Soc., Providence, RI
-
M. A. Rieffel. Noncommutative tori - a case study of noncommutative differentiable manifolds. In Geometric and topological invariants of elliptic operators (Brunswick, ME, 1988), pages 191-211. Amer. Math. Soc., Providence, RI, 1990.
-
(1990)
Geometric and Topological Invariants of Elliptic Operators (Brunswick, ME, 1988)
, pp. 191-211
-
-
Rieffel, M.A.1
-
61
-
-
0000299590
-
Metrics on states from actions of compact groups
-
math.OA/9807084
-
M. A. Rieffel. Metrics on states from actions of compact groups. Doc. Math. 3 (1998) 215-229. math.OA/9807084.
-
(1998)
Doc. Math.
, vol.3
, pp. 215-229
-
-
Rieffel, M.A.1
-
62
-
-
0000176173
-
Metrics on state spaces
-
math.OA/9906151
-
M. A. Rieffel. Metrics on state spaces. Doc. Math. 4 (1999), 559-600. math.OA/9906151.
-
(1999)
Doc. Math.
, vol.4
, pp. 559-600
-
-
Rieffel, M.A.1
-
63
-
-
1342337012
-
Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance
-
math.OA/0108005
-
M. A. Rieffel. Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance. In this Memoir. math.OA/0108005.
-
Memoir.
-
-
Rieffel, M.A.1
-
64
-
-
0011970883
-
-
American Mathematical Society, Providence. RI
-
T. Sakai. Riemannian geometry. American Mathematical Society, Providence. RI, 1996.
-
(1996)
Riemannian Geometry
-
-
Sakai, T.1
-
65
-
-
57749189013
-
Berezin-Toeplitz quantization and Berezin transform
-
Ser. Concr. Appl. Math., 1. World Sci. Publishing, River Edge, NJ. math.QA/0009219
-
M. Schlichenmaier. Berezin-Toeplitz quantization and Berezin transform. Long time behaviour of classical and quantum systems (Bologna, 1999), 271-287, Ser. Concr. Appl. Math., 1. World Sci. Publishing, River Edge, NJ, 2001. math.QA/0009219.
-
(2001)
Long Time Behaviour of Classical and Quantum Systems (Bologna, 1999)
, pp. 271-287
-
-
Schlichenmaier, M.1
-
66
-
-
0032583036
-
Morita equivalence and duality
-
hep-th/9805034
-
A. Schwarz. Morita equivalence and duality. Nuclear Phys. B 534(3) (1998), 720-738. hep-th/9805034.
-
(1998)
Nuclear Phys. B
, vol.534
, Issue.3
, pp. 720-738
-
-
Schwarz, A.1
-
67
-
-
0007084601
-
String theory and noncommutative geometry
-
Paper 32. hep-th/9904142
-
N. Seiberg and E. Witten. String theory and noncommutative geometry. J. High Energy Phys. 1999(9), (1999), Paper 32. hep-th/9904142.
-
(1999)
J. High Energy Phys.
, vol.1999
, Issue.9
-
-
Seiberg, N.1
Witten, E.2
-
68
-
-
22644448306
-
The limit spaces of two-dimensional manifolds with uniformly bounded integral curvature
-
T. Shioya. The limit spaces of two-dimensional manifolds with uniformly bounded integral curvature. Trans. Amer. Math. Soc. 351(5) (1999), 1765-1801.
-
(1999)
Trans. Amer. Math. Soc.
, vol.351
, Issue.5
, pp. 1765-1801
-
-
Shioya, T.1
-
69
-
-
0038182402
-
Quantum tori, mirror symmetry and deformation theory
-
math.QA/0011162
-
Y. Soibelman. Quantum tori, mirror symmetry and deformation theory. Lett. Math. Phys. 56 (2001), no. 2, 99-125. math.QA/0011162.
-
(2001)
Lett. Math. Phys.
, vol.56
, Issue.2
, pp. 99-125
-
-
Soibelman, Y.1
-
70
-
-
85021637154
-
The M(atrix) model of M-theory
-
NATO Sci. Ser. C Math. Phys. Sci., 556, Kluwer Acad. Publ., Dordrecht. hep-th/0002016
-
W. Taylor. The M(atrix) model of M-theory. M-theory and quantum geometry (Akureyri, 1999), 91-177, NATO Sci. Ser. C Math. Phys. Sci., 556, Kluwer Acad. Publ., Dordrecht, 2000. hep-th/0002016.
-
(2000)
M-theory and Quantum Geometry (Akureyri, 1999)
, pp. 91-177
-
-
Taylor, W.1
-
72
-
-
0013210048
-
Ergodic actions of compact groups on operator algebras. I. General theory
-
A. Wassermann. Ergodic actions of compact groups on operator algebras. I. General theory. Ann. of Math. (2) 130(2) (1989), 273-319.
-
(1989)
Ann. of Math. (2)
, vol.130
, Issue.2
, pp. 273-319
-
-
Wassermann, A.1
-
73
-
-
0032122588
-
Quantum symmetry groups of finite space
-
S.Z. Wang. Quantum symmetry groups of finite space. Comm. Math. Phys. 195 (1998), 195-210.
-
(1998)
Comm. Math. Phys.
, vol.195
, pp. 195-210
-
-
Wang, S.Z.1
-
75
-
-
0035979978
-
Monge metric on the sphere and geometry of quantum states
-
quant-ph/0008016
-
K. Zyczkowski and W. Slomczynski. Monge metric on the sphere and geometry of quantum states. J. Phys. A 34 (2001), no. 34, 6689-6722. quant-ph/0008016.
-
(2001)
J. Phys. A
, vol.34
, Issue.34
, pp. 6689-6722
-
-
Zyczkowski, K.1
Slomczynski, W.2
|