메뉴 건너뛰기




Volumn 176, Issue 1, 2000, Pages 115-152

Noncommutative Riemann Integration and Novikov-Shubin Invariants for Open Manifolds

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0007014503     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2000.3609     Document Type: Article
Times cited : (12)

References (29)
  • 1
    • 0002951048 scopus 로고
    • Elliptic operators, discrete groups and von Neumann algebras
    • Atiyah M. F. Elliptic operators, discrete groups and von Neumann algebras. Astérisque. 32-33:1976;43-72.
    • (1976) Astérisque , vol.3233 , pp. 43-72
    • Atiyah, M.F.1
  • 2
    • 84974001919 scopus 로고
    • Modified isoperimetric constants, and large time heat diffusion in Riemannian manifolds
    • Chavel I., Feldman E. A. Modified isoperimetric constants, and large time heat diffusion in Riemannian manifolds. Duke Math. J. 64:1991;473-499.
    • (1991) Duke Math. J. , vol.64 , pp. 473-499
    • Chavel, I.1    Feldman, E.A.2
  • 3
    • 0002241748 scopus 로고
    • Non commutative integration for monotone sequentially closed C*-algebras
    • Christensen E. Non commutative integration for monotone sequentially closed C*-algebras. Math. Scand. 31:1972;171-190.
    • (1972) Math. Scand. , vol.31 , pp. 171-190
    • Christensen, E.1
  • 5
    • 0003421383 scopus 로고
    • Amsterdam: North-Holland
    • Dixmier J. C*-Algebras. 1977;North-Holland, Amsterdam.
    • (1977) C*-Algebras
    • Dixmier, J.1
  • 6
    • 0001133825 scopus 로고
    • 2-cohomology of infinite coverings
    • 2-cohomology of infinite coverings. Topology. 16:1977;157-165.
    • (1977) Topology , vol.16 , pp. 157-165
    • Dodziuk, J.1
  • 7
    • 84972546868 scopus 로고
    • Generalized s-numbers of τ-measurable operators
    • Fack T., Kosaki H. Generalized s-numbers of τ-measurable operators. Pacific J. Math. 123:1986;269.
    • (1986) Pacific J. Math. , vol.123 , pp. 269
    • Fack, T.1    Kosaki, H.2
  • 8
    • 0032393327 scopus 로고    scopus 로고
    • 2 invariants
    • 2 invariants. Math. Ann. 311:1998;335-375.
    • (1998) Math. Ann. , vol.311 , pp. 335-375
    • Farber, M.1
  • 9
    • 0000050373 scopus 로고
    • Von Neumann spectra near zero
    • Gromov M., Shubin M. Von Neumann spectra near zero. Geom. Funct. Anal. 1:1991;375-404.
    • (1991) Geom. Funct. Anal. , vol.1 , pp. 375-404
    • Gromov, M.1    Shubin, M.2
  • 10
    • 0001054079 scopus 로고
    • Singular traces for semifinite von Neumann algebras
    • Guido D., Isola T. Singular traces for semifinite von Neumann algebras. J. Funct. Anal. 134:1995;451-485.
    • (1995) J. Funct. Anal. , vol.134 , pp. 451-485
    • Guido, D.1    Isola, T.2
  • 13
    • 0038966820 scopus 로고
    • Unitary invariants for representations of operator algebras
    • Kadison R. V. Unitary invariants for representations of operator algebras. Ann. of Math. 66:1957;304-379.
    • (1957) Ann. of Math. , vol.66 , pp. 304-379
    • Kadison, R.V.1
  • 15
    • 84972530412 scopus 로고
    • Heat kernels on covering spaces and topological invariants
    • Lott J. Heat kernels on covering spaces and topological invariants. J. Differential Geom. 35:1992;471-510.
    • (1992) J. Differential Geom. , vol.35 , pp. 471-510
    • Lott, J.1
  • 20
    • 84972487876 scopus 로고
    • An index theorem on open manifolds, I
    • Roe J. An index theorem on open manifolds, I. J. Differential Geom. 27:1988;87-113.
    • (1988) J. Differential Geom. , vol.27 , pp. 87-113
    • Roe, J.1
  • 21
    • 84972487876 scopus 로고
    • An index theorem on open manifolds, II
    • Roe J. An index theorem on open manifolds, II. J. Differential Geom. 27:1988;115-136.
    • (1988) J. Differential Geom. , vol.27 , pp. 115-136
    • Roe, J.1
  • 22
    • 0007118567 scopus 로고
    • 2 Betti numbers
    • 2 Betti numbers. Duke Math. J. 59:1989;765-783.
    • (1989) Duke Math. J. , vol.59 , pp. 765-783
    • Roe, J.1
  • 24
    • 0000114353 scopus 로고
    • A non-commutative extension of abstract integration
    • Segal I. E. A non-commutative extension of abstract integration. Ann. of Math. 57:1953;401.
    • (1953) Ann. of Math. , vol.57 , pp. 401
    • Segal, I.E.1
  • 25
    • 0011682115 scopus 로고
    • Integration theorems for gages and duality for unimodular groups
    • Stinespring W. F. Integration theorems for gages and duality for unimodular groups. Trans. Amer. Math. Soc. 90:1959;15.
    • (1959) Trans. Amer. Math. Soc. , vol.90 , pp. 15
    • Stinespring, W.F.1
  • 26
    • 0002867407 scopus 로고
    • Closed convex hull of set of measurable functions, Riemann-measurable functions and measurability of translations
    • Talagrand M. Closed convex hull of set of measurable functions, Riemann-measurable functions and measurability of translations. Ann. Inst. Fourier. 32:1982;39-69.
    • (1982) Ann. Inst. Fourier , vol.32 , pp. 39-69
    • Talagrand, M.1
  • 28
    • 0003103305 scopus 로고
    • Random walks and Brownian motion on manifolds
    • Cambridge: Cambridge Univ. Press. p. 97-109
    • Varopoulos N. T. Random walks and Brownian motion on manifolds. Symposia Mathematica. 1987;Cambridge Univ. Press, Cambridge. p. 97-109.
    • (1987) Symposia Mathematica
    • Varopoulos, N.T.1
  • 29
    • 0000871846 scopus 로고
    • Brownian motion and random walks on manifolds
    • Varopoulos N. T. Brownian motion and random walks on manifolds. Ann. Inst. Fourier (Grenoble). 34:1984;243-269.
    • (1984) Ann. Inst. Fourier (Grenoble) , vol.34 , pp. 243-269
    • Varopoulos, N.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.