메뉴 건너뛰기




Volumn 240, Issue 3, 2003, Pages 423-446

Berezin Quantization and K-Homology

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0141792305     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0913-6     Document Type: Article
Times cited : (1)

References (31)
  • 1
    • 0001448235 scopus 로고
    • Bott periodicity and the index of elliptic operators
    • [Ati68] MR 37 #3584
    • [Ati68] Atiyah, M.F.: Bott periodicity and the index of elliptic operators. Quart. J. Math. Oxford Ser. (2) 19, 113-140 (1968) MR 37 #3584
    • (1968) Quart. J. Math. Oxford Ser. (2) , vol.19 , pp. 113-140
    • Atiyah, M.F.1
  • 2
    • 0001118056 scopus 로고
    • K-homology and index theory
    • [BD82]: Operator Algebras and Applications, R. Kadison (ed.), Providence, RI: American Mathematical Society
    • [BD82] Baum, P., Douglas, R.: K-homology and index theory. In: Operator Algebras and Applications, R. Kadison (ed.), Proceedings of Symposia in Pure Mathematics, Vol. 38, Providence, RI: American Mathematical Society, 1982, pp. 117-173
    • (1982) Proceedings of Symposia in Pure Mathematics , vol.38 , pp. 117-173
    • Baum, P.1    Douglas, R.2
  • 3
    • 84927988871 scopus 로고
    • Quantization
    • [Ber74]
    • [Ber74] Berezin, F.A.: Quantization. Math. USSR Izvestija 8(5), 1109-1165 (1974)
    • (1974) Math. USSR Izvestija , vol.8 , Issue.5 , pp. 1109-1165
    • Berezin, F.A.1
  • 4
    • 84927987695 scopus 로고
    • Quantization in complex symmetric spaces
    • [Ber75a]
    • [Ber75a] Berezin, F.A.: Quantization in complex symmetric spaces. Math. USSR Izvestija 9(2), 341-379 (1975)
    • (1975) Math. USSR Izvestija , vol.9 , Issue.2 , pp. 341-379
    • Berezin, F.A.1
  • 5
    • 5344280691 scopus 로고
    • General concept of quantization
    • [Ber75b]
    • [Ber75b] Berezin, F.A.: General concept of quantization. Commun. Math. Phys. 40, 153-174 (1975)
    • (1975) Commun. Math. Phys. , vol.40 , pp. 153-174
    • Berezin, F.A.1
  • 6
    • 0000254883 scopus 로고
    • Non-perturbative deformation quantization of Cartan domains
    • [BLU93]
    • [BLU93] Borthwick, D., Lesniewski, A., Upmeier, H.: Non-perturbative deformation quantization of Cartan domains. J. Funct. Anal. 113, 153-176 (1993)
    • (1993) J. Funct. Anal. , vol.113 , pp. 153-176
    • Borthwick, D.1    Lesniewski, A.2    Upmeier, H.3
  • 8
    • 0000162835 scopus 로고
    • Déformations, morphismes asymptotiques et K-théorie bivariante
    • [CH90]
    • [CH90] Connes, A., Higson, N.: Déformations, morphismes asymptotiques et K-théorie bivariante. C. R. Acad. Sci. Paris, Série I 311, 101-106 (1990)
    • (1990) C. R. Acad. Sci. Paris, Série I , vol.311 , pp. 101-106
    • Connes, A.1    Higson, N.2
  • 9
    • 0001326354 scopus 로고
    • A note on asymptotic homomorphisms
    • [Dad94]
    • [Dad94] Dadarlat, M.: A note on asymptotic homomorphisms. K-Theory 8, 465-482 (1994)
    • (1994) K-Theory , vol.8 , pp. 465-482
    • Dadarlat, M.1
  • 10
    • 0003421383 scopus 로고
    • [Dix70]. Amsterdam: North Holland
    • [Dix70] Dixmier, J.: C*-algebras. Amsterdam: North Holland, 1970
    • (1970) C*-algebras
    • Dixmier, J.1
  • 11
    • 0031093408 scopus 로고    scopus 로고
    • 2-cohomology of the Bergman metric for weakly pseudoconvex domains
    • [Don97]
    • 2-cohomology of the Bergman metric for weakly pseudoconvex domains. Illinois J. Math. 41, 151-160 (1997)
    • (1997) Illinois J. Math. , vol.41 , pp. 151-160
    • Donnelly, H.1
  • 12
    • 85100672658 scopus 로고
    • Principles of algebraic geometry
    • [GH78], New York: John Wiley & Sons
    • [GH78] Griffiths, P., Harris, J.: Principles of algebraic geometry. Pure and Applied Mathematics, New York: John Wiley & Sons, 1978
    • (1978) Pure and Applied Mathematics
    • Griffiths, P.1    Harris, J.2
  • 13
    • 33749453934 scopus 로고    scopus 로고
    • Equivariant E-theory for C*-algebras
    • [GHT00], Providence, RI: American Mathematical Society
    • [GHT00] Guentner, E., Higson, N., Trout, J.: Equivariant E-theory for C*-algebras. Memoirs of the AMS, Vol. 703, Providence, RI: American Mathematical Society, 2000
    • (2000) Memoirs of the AMS , vol.703
    • Guentner, E.1    Higson, N.2    Trout, J.3
  • 14
    • 84972526930 scopus 로고
    • 2-Hodge theory
    • [Gro91]
    • 2-Hodge theory. J. Differ. Geom. 33, 263-292 (1991)
    • (1991) J. Differ. Geom. , vol.33 , pp. 263-292
    • Gromov, M.1
  • 15
    • 0038979605 scopus 로고    scopus 로고
    • Boundary calculations in relative E-theory
    • [Gue98]
    • [Gue98] Guentner, E.: Boundary calculations in relative E-theory. Mich. Math. J. 45, 159-188 (1998)
    • (1998) Mich. Math. J. , vol.45 , pp. 159-188
    • Guentner, E.1
  • 17
    • 0013199925 scopus 로고    scopus 로고
    • Relative E-theory
    • [Gue99b]
    • [Gue99b] Guentner, E.: Relative E-theory. K-Theory 17, 55-93 (1999)
    • (1999) K-Theory , vol.17 , pp. 55-93
    • Guentner, E.1
  • 18
    • 0013247530 scopus 로고    scopus 로고
    • Wick quantization and asymptotic morphisms
    • [Gue00]
    • [Gue00] Guentner, E.: Wick quantization and asymptotic morphisms. Houston J. Math. 26, 361-375 (2000)
    • (2000) Houston J. Math. , vol.26 , pp. 361-375
    • Guentner, E.1
  • 19
    • 0003245418 scopus 로고
    • Differential geometry, Lie groups, and symmetric spaces
    • [Hel78], New York: Academic Press
    • [Hel78] Helgason, S.: Differential geometry, Lie groups, and symmetric spaces. Pure and Applied Mathematics, Vol. 80, New York: Academic Press, 1978
    • (1978) Pure and Applied Mathematics , vol.80
    • Helgason, S.1
  • 20
    • 84972582179 scopus 로고
    • A characterization of K K-theory
    • [Hig87]
    • [Hig87] Higson, N.: A characterization of K K-theory. Pacific J. Math. 126(2), 253-276 (1987)
    • (1987) Pacific J. Math. , vol.126 , Issue.2 , pp. 253-276
    • Higson, N.1
  • 21
    • 0013306722 scopus 로고
    • On the K-theory proof of the index theorem
    • [Hig93]
    • [Hig93] Higson, N.: On the K-theory proof of the index theorem. Comtemp. Math 148, 67-86 (1993)
    • (1993) Comtemp. Math , vol.148 , pp. 67-86
    • Higson, N.1
  • 22
    • 85009821174 scopus 로고    scopus 로고
    • Operator K-theory for groups which act properly and isometrically on Hilbert space
    • [HK97]
    • [HK97] Higson, N., Kasparov, G.: Operator K-theory for groups which act properly and isometrically on Hilbert space. Electronic Research Announcements of the AMS 3, 131-142 (1997)
    • (1997) Electronic Research Announcements of the AMS , vol.3 , pp. 131-142
    • Higson, N.1    Kasparov, G.2
  • 23
    • 0035613487 scopus 로고    scopus 로고
    • E-theory and K K-theory for groups which act properly and isometrically on Hilbert space
    • [HK01]
    • [HK01] Higson, N., Kasparov, G.G.: E-theory and K K-theory for groups which act properly and isometrically on Hilbert space. Invent. Math. 144(1), 23-74 (2001)
    • (2001) Invent. Math. , vol.144 , Issue.1 , pp. 23-74
    • Higson, N.1    Kasparov, G.G.2
  • 24
    • 0001981570 scopus 로고    scopus 로고
    • A Bott periodicity theorem for infinite dimensional Euclidean space
    • [HKT98]
    • [HKT98] Higson, N., Kasparov, G., Trout, J.: A Bott periodicity theorem for infinite dimensional Euclidean space. Adv. Math. 135, 1-40 (1998)
    • (1998) Adv. Math. , vol.135 , pp. 1-40
    • Higson, N.1    Kasparov, G.2    Trout, J.3
  • 25
    • 0003306028 scopus 로고
    • Harmonic analysis of functions of several complex variables in the classical domains
    • [Hua63], Providence, RI.: American Mathematical Society
    • [Hua63] Hua, L.K.: Harmonic analysis of functions of several complex variables in the classical domains. Translations of Mathematical Monographs, Vol. 6, Providence, RI.: American Mathematical Society, 1963
    • (1963) Translations of Mathematical Monographs , vol.6
    • Hua, L.K.1
  • 26
    • 34249832301 scopus 로고
    • Quantum Riemann surfaces I: The unit disc
    • [KL92]
    • [KL92] Klimek, S., Lesniewski, A.: Quantum Riemann surfaces I: The unit disc. Commun. Math. Phys. 146, 103-122 (1992)
    • (1992) Commun. Math. Phys. , vol.146 , pp. 103-122
    • Klimek, S.1    Lesniewski, A.2
  • 29
    • 0003826438 scopus 로고
    • Metric rigidity theorems on hermitian locally symmetric manifolds
    • [Mok89], Singapore: World Scientific
    • [Mok89] Mok, N.: Metric rigidity theorems on hermitian locally symmetric manifolds. Series in Pure Mathematics, Vol. 6, Singapore: World Scientific, 1989
    • (1989) Series in Pure Mathematics , vol.6
    • Mok, N.1
  • 31
    • 84972504092 scopus 로고
    • An index theorem on open manifolds, II
    • [Roe88]
    • [Roe88] Roe, J.: An index theorem on open manifolds, II. J. Diff. Geom. 27, 115-136 (1988)
    • (1988) J. Diff. Geom. , vol.27 , pp. 115-136
    • Roe, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.