메뉴 건너뛰기




Volumn , Issue 547, 2002, Pages 97-138

Inclusions of simple C*-algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036258286     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.2002.055     Document Type: Article
Times cited : (73)

References (43)
  • 1
    • 0001735543 scopus 로고
    • Indice d'Une espérance conditionnelle
    • Baillet, M., Denizeau, Y., Havet., J.-F., Indice d'Une espérance conditionnelle, Compos. Math. 66 (1988), 199-236.
    • (1988) Compos. Math. , vol.66 , pp. 199-236
    • Baillet, M.1    Denizeau, Y.2    Havet, J.-F.3
  • 2
    • 0012943288 scopus 로고
    • Quasi-product actions of a compact group on a C*-algebra
    • Brattell, O., Elliott, G. A., Kishimoto, A., Quasi-product actions of a compact group on a C*-algebra, J. Funct. Anal. 115 (1993), 313-343.
    • (1993) J. Funct. Anal. , vol.115 , pp. 313-343
    • Brattell, O.1    Elliott, G.A.2    Kishimoto, A.3
  • 3
    • 0001188044 scopus 로고
    • Semicontinuity and multipliers of C*-algebras
    • Brown, L. G., Semicontinuity and multipliers of C*-algebras, Canad. J. Math. 40 (1988), 865-988.
    • (1988) Canad. J. Math. , vol.40 , pp. 865-988
    • Brown, L.G.1
  • 4
    • 0042288065 scopus 로고
    • A correspondence between subgroups and subalgebras in a discrete C*-crossed product
    • Choda, H., A correspondence between subgroups and subalgebras in a discrete C*-crossed product, Math. Japon. 24 (1979/80), 225-229.
    • (1979) Math. Japon. , vol.24 , pp. 225-229
    • Choda, H.1
  • 5
    • 3042722951 scopus 로고
    • Simple C*-algebras generated by isometries
    • Cuntz, J., Simple C*-algebras generated by isometries, Comm. Math. Phys. 57 (1977), 173-185.
    • (1977) Comm. Math. Phys. , vol.57 , pp. 173-185
    • Cuntz, J.1
  • 6
    • 0001106382 scopus 로고
    • K-theory for certain C*-algebras
    • Cuntz, J., K-theory for certain C*-algebras, Ann. Math. (2) 113 (1981), 181-197.
    • (1981) Ann. Math. (2) , vol.113 , pp. 181-197
    • Cuntz, J.1
  • 7
    • 0010722825 scopus 로고
    • K-theory for certain C*-algebras. II
    • Cuntz, J., K-theory for certain C*-algebras. II, J. Oper. Th. 5 (1981), 101-108.
    • (1981) J. Oper. Th. , vol.5 , pp. 101-108
    • Cuntz, J.1
  • 8
    • 0001175308 scopus 로고
    • A class of C*-algebras and topological Markov chains
    • Cuntz, J., Krieger, W., A class of C*-algebras and topological Markov chains, Invent. Math. 56 (1980), 251-268.
    • (1980) Invent. Math. , vol.56 , pp. 251-268
    • Cuntz, J.1    Krieger, W.2
  • 9
    • 0003303219 scopus 로고    scopus 로고
    • Quantum symmetries on operator algebras
    • Oxford Sci. Publ., The Clarendon Press, Oxford University Press, New York
    • Evans, D. E., Kawahigashi, Y., Quantum symmetries on operator algebras, Oxford Math. Monogr., Oxford Sci. Publ., The Clarendon Press, Oxford University Press, New York 1998.
    • (1998) Oxford Math. Monogr.
    • Evans, D.E.1    Kawahigashi, Y.2
  • 10
    • 0003075149 scopus 로고    scopus 로고
    • On conditional expectations of finite index
    • Frank, M., Kirchberg, E., On conditional expectations of finite index, J. Oper. Th. 40 (1998), 87-111.
    • (1998) J. Oper. Th. , vol.40 , pp. 87-111
    • Frank, M.1    Kirchberg, E.2
  • 11
    • 85007996108 scopus 로고
    • Minimizing indices of conditional expectations onto a subfactor
    • Hiai, F., Minimizing indices of conditional expectations onto a subfactor, Publ. Res. Inst. Math. Sci. 24 (1988). 673-678.
    • (1988) Publ. Res. Inst. Math. Sci. , vol.24 , pp. 673-678
    • Hiai, F.1
  • 12
    • 85007973526 scopus 로고
    • Application of fusion rules to classification of subfactors
    • Izumi, M., Application of fusion rules to classification of subfactors, Publ. Res. Inst. Math. Sci. 27 (1991), 953-994.
    • (1991) Publ. Res. Inst. Math. Sci. , vol.27 , pp. 953-994
    • Izumi, M.1
  • 13
    • 21144474847 scopus 로고
    • Subalgebras of infinite C*-algebras with finite Watatani indices. I. Cuntz algebras
    • Izumi, M., Subalgebras of infinite C*-algebras with finite Watatani indices. I. Cuntz algebras, Comm. Math. Phys. 155 (1993), 157-182.
    • (1993) Comm. Math. Phys. , vol.155 , pp. 157-182
    • Izumi, M.1
  • 15
    • 0000292843 scopus 로고    scopus 로고
    • Subalgebras of infinite C*-algebras with finite Watatani indices. II. Cuntz-Krieger algebras
    • Izumi, M., Subalgebras of infinite C*-algebras with finite Watatani indices. II. Cuntz-Krieger algebras, Duke Math. J. 91 (1998), 409-461.
    • (1998) Duke Math. J. , vol.91 , pp. 409-461
    • Izumi, M.1
  • 16
    • 0003140516 scopus 로고    scopus 로고
    • A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras
    • Izumi, M., Longo, R., Popa, S., A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras, J. Funct. Anal. 155 (1998), 25-63.
    • (1998) J. Funct. Anal. , vol.155 , pp. 25-63
    • Izumi, M.1    Longo, R.2    Popa, S.3
  • 17
    • 0030163366 scopus 로고    scopus 로고
    • Purely infinite simple C*-crossed products. II
    • Jeong, J. A., Kodaka, K., Osaka, H., Purely infinite simple C*-crossed products. II, Canad. Math. Bull. 39 (1996), 203-210.
    • (1996) Canad. Math. Bull. , vol.39 , pp. 203-210
    • Jeong, J.A.1    Kodaka, K.2    Osaka, H.3
  • 18
    • 0010806038 scopus 로고
    • Index for subfactors
    • Jones, V. F. R., Index for subfactors, Invent. Math. 72 (1983), 1-25.
    • (1983) Invent. Math. , vol.72 , pp. 1-25
    • Jones, V.F.R.1
  • 19
    • 23044519693 scopus 로고    scopus 로고
    • Jones index theory by Hilbert C*-bimodules and K-theory
    • Kajiwara, T., Watatani. Y., Jones index theory by Hilbert C*-bimodules and K-theory, Trans. Amer. Math. Soc. 352 (2000), 3429-3472.
    • (2000) Trans. Amer. Math. Soc. , vol.352 , pp. 3429-3472
    • Kajiwara, T.1    Watatani, Y.2
  • 20
    • 0013210211 scopus 로고
    • The multiplicativity of the minimal index of simple C*-algebras
    • Kawakami, S., Watatani, Y., The multiplicativity of the minimal index of simple C*-algebras, Proc. Amer. Math. Soc. 123 (1995), 2809-2813.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 2809-2813
    • Kawakami, S.1    Watatani, Y.2
  • 21
    • 0000557208 scopus 로고
    • Outer automorphisms and reduced crossed products of simple C*-algebras
    • Kishimolo, A., Outer automorphisms and reduced crossed products of simple C*-algebras, Comm. Math. Phys. 81 (1981), 429-435.
    • (1981) Comm. Math. Phys. , vol.81 , pp. 429-435
    • Kishimolo, A.1
  • 22
    • 0000707245 scopus 로고
    • Crossed products of Cuntz algebras by quasi-free automorphisms
    • Waterloo, ON
    • Kishimoto, A., Kumjian, A., Crossed products of Cuntz algebras by quasi-free automorphisms, Operator algebras and their applications (Waterloo, ON, 1994/1995), 173-192, Fields Inst. Commun. 13, Amer. Math. Soc., Providence, RI, 1997.
    • (1994) Operator Algebras and their Applications , pp. 173-192
    • Kishimoto, A.1    Kumjian, A.2
  • 23
    • 0039155030 scopus 로고    scopus 로고
    • Amer. Math. Soc., Providence, RI
    • Kishimoto, A., Kumjian, A., Crossed products of Cuntz algebras by quasi-free automorphisms, Operator algebras and their applications (Waterloo, ON, 1994/1995), 173-192, Fields Inst. Commun. 13, Amer. Math. Soc., Providence, RI, 1997.
    • (1997) Fields Inst. Commun. , vol.13
  • 24
    • 0000235577 scopus 로고
    • Extension of Jones' theory on index to arbitrary factors
    • Kosaki, H., Extension of Jones' theory on index to arbitrary factors, J. Funct. Anal. 66 (1986), 123-140.
    • (1986) J. Funct. Anal. , vol.66 , pp. 123-140
    • Kosaki, H.1
  • 25
    • 0001510118 scopus 로고
    • A remark on the minimal index of subfactors
    • Kosaki, H., Longo, R., A remark on the minimal index of subfactors, J. Funct. Anal. 107 (1992), 458-470.
    • (1992) J. Funct. Anal. , vol.107 , pp. 458-470
    • Kosaki, H.1    Longo, R.2
  • 26
    • 0004189573 scopus 로고
    • Hubert C*-modules. A toolkit for operator algebraists
    • Cambridge University Press, Cambridge
    • Lance, E. C., Hubert C*-modules. A toolkit for operator algebraists, London Math. Soc. Lect. Note Ser. 210, Cambridge University Press, Cambridge 1995.
    • (1995) London Math. Soc. Lect. Note Ser. , vol.210
    • Lance, E.C.1
  • 27
    • 0042288063 scopus 로고
    • Towards a Galois theory for crossed products of C*-algebras
    • Landstad, M. B., Olesen, D., Pedersen, G. K., Towards a Galois theory for crossed products of C*-algebras, Math. Scand. 43 (1978), 311-321.
    • (1978) Math. Scand. , vol.43 , pp. 311-321
    • Landstad, M.B.1    Olesen, D.2    Pedersen, G.K.3
  • 28
    • 51249174399 scopus 로고
    • Index of subfactors and statistics of quantum fields II
    • Longo, R., Index of subfactors and statistics of quantum fields II, Commun. Math. Phys. 130 (1990), 285-309.
    • (1990) Commun. Math. Phys. , vol.130 , pp. 285-309
    • Longo, R.1
  • 29
    • 0002257234 scopus 로고
    • Minimal index and braided subfactors
    • Longo, R., Minimal index and braided subfactors, J. Funct. Anal. 109 (1992), 98-112.
    • (1992) J. Funct. Anal. , vol.109 , pp. 98-112
    • Longo, R.1
  • 30
    • 21344494979 scopus 로고
    • Duality for Hopf algebras and for subfactors. I
    • Longo, R., Duality for Hopf algebras and for subfactors. I, Commun. Math. Phys. 159 (1994), 133-150.
    • (1994) Commun. Math. Phys. , vol.159 , pp. 133-150
    • Longo, R.1
  • 31
    • 0003254555 scopus 로고
    • Duality for crossed products of von Neumann algebras
    • Springer, Berlin
    • Nakagami, Y., Takesaki, M., Duality for crossed products of von Neumann algebras, Lect. Notes Math. 731, Springer, Berlin 1979.
    • (1979) Lect. Notes Math. , vol.731
    • Nakagami, Y.1    Takesaki, M.2
  • 32
    • 0039890511 scopus 로고    scopus 로고
    • SP-property for a pair of C*-algebras
    • Osaka, H., SP-property for a pair of C*-algebras, J. Oper. Th. 46 (2001), 159-171.
    • (2001) J. Oper. Th. , vol.46 , pp. 159-171
    • Osaka, H.1
  • 33
    • 0003216501 scopus 로고
    • C*-algebras and their automorphism groups
    • Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London-New York
    • Pedersen, G. K., C*-algebras and their automorphism groups, London Math. Soc. Monogr. 14, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London-New York 1979.
    • (1979) London Math. Soc. Monogr. , vol.14
    • Pedersen, G.K.1
  • 35
    • 0003305253 scopus 로고
    • Classification of subfactors and their endomorphisms
    • American Mathematical Society, Providence, RI
    • Popa, S., Classification of subfactors and their endomorphisms, CBMS Reg. Conf. Ser. Math. 86, American Mathematical Society, Providence, RI, 1995.
    • (1995) CBMS Reg. Conf. Ser. Math. , vol.86
    • Popa, S.1
  • 36
    • 0034688463 scopus 로고    scopus 로고
    • On the relative Dixmier property for inclusions of C*-algebras
    • Popa, S., On the relative Dixmier property for inclusions of C*-algebras, J. Funct. Anal. 171 (2000), 139-154.
    • (2000) J. Funct. Anal. , vol.171 , pp. 139-154
    • Popa, S.1
  • 37
    • 0006456038 scopus 로고
    • Induced representations of C*-algebras
    • Rieffel, M. A., Induced representations of C*-algebras, Adv. Math. 13 (1974), 176-257.
    • (1974) Adv. Math. , vol.13 , pp. 176-257
    • Rieffel, M.A.1
  • 38
    • 0002200267 scopus 로고
    • Morita equivalence for C*-algebras and WC*-algebras
    • Rieffel, M. A., Morita equivalence for C*-algebras and WC*-algebras, J. Pure Appl. Algebra 5 (1974), 51-96.
    • (1974) J. Pure Appl. Algebra , vol.5 , pp. 51-96
    • Rieffel, M.A.1
  • 39
    • 0002083543 scopus 로고
    • Actions of finite groups on C*-algebras
    • Rieffel, M. A., Actions of finite groups on C*-algebras, Math. Scand. 47 (1980), 157-176.
    • (1980) Math. Scand. , vol.47 , pp. 157-176
    • Rieffel, M.A.1
  • 40
    • 0001897663 scopus 로고
    • Ideals in the multiplier algebra of a stable C*-algebra
    • Rørdam, M., Ideals in the multiplier algebra of a stable C*-algebra, J. Oper. Th. 25 (1991), 283-298.
    • (1991) J. Oper. Th. , vol.25 , pp. 283-298
    • Rørdam, M.1
  • 41
    • 0002863984 scopus 로고
    • Classification of Cuntz-Krieger algebras
    • Rørdam, M., Classification of Cuntz-Krieger algebras, K-Theory 9 (1995), 31-58.
    • (1995) K-Theory , vol.9 , pp. 31-58
    • Rørdam, M.1
  • 42
    • 84972538068 scopus 로고
    • On the non-separability of singular representation of operator algebra
    • Takesaki, M., On the non-separability of singular representation of operator algebra, Kodai Math. Sem. Rep. 12 (1960), 102-108.
    • (1960) Kodai Math. Sem. Rep. , vol.12 , pp. 102-108
    • Takesaki, M.1
  • 43
    • 0000144114 scopus 로고
    • Index for C*-subalgebras
    • Watatani, Y., Index for C*-subalgebras, Mem. Amer. Math. Soc. 83 (1990), no. 424.
    • (1990) Mem. Amer. Math. Soc. , vol.83 , Issue.424
    • Watatani, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.