메뉴 건너뛰기




Volumn 175, Issue 1, 2000, Pages 168-196

Norming C*-Algebras by C*-Subalgebras

Author keywords

C* algebra; von Neumann algebra; norming; cohomology; bounded projection; crossed product; factor; hyperfinite; injective; UHF

Indexed keywords


EID: 0040516805     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2000.3601     Document Type: Article
Times cited : (27)

References (40)
  • 2
    • 0007221598 scopus 로고
    • Extensions of derivations, II
    • Christensen E. Extensions of derivations, II. Math. Scand. 50:1982;111-122.
    • (1982) Math. Scand. , vol.50 , pp. 111-122
    • Christensen, E.1
  • 3
    • 0031537448 scopus 로고    scopus 로고
    • On the cohomology groups of certain finite von Neumann algebras
    • Christensen E., Pop F., Sinclair A. M., Smith R. R. On the cohomology groups of certain finite von Neumann algebras. Math. Ann. 307:1997;71-92.
    • (1997) Math. Ann. , vol.307 , pp. 71-92
    • Christensen, E.1    Pop, F.2    Sinclair, A.M.3    Smith, R.R.4
  • 5
    • 0002681352 scopus 로고
    • On von Neumann algebras which are complemented subspaces of B(H)
    • Christensen E., Sinclair A. M. On von Neumann algebras which are complemented subspaces of B(H). J. Funct. Anal. 122:1994;91-102.
    • (1994) J. Funct. Anal. , vol.122 , pp. 91-102
    • Christensen, E.1    Sinclair, A.M.2
  • 6
    • 0000466738 scopus 로고
    • Module mappings into von Neumann algebras and injectivity
    • Christensen E., Sinclair A. M. Module mappings into von Neumann algebras and injectivity. Proc. London Math. Soc. 71:1995;618-640.
    • (1995) Proc. London Math. Soc. , vol.71 , pp. 618-640
    • Christensen, E.1    Sinclair, A.M.2
  • 7
    • 0039412469 scopus 로고    scopus 로고
    • A cohomological characterization of approximately finite-dimensional von Neumann algebras
    • Cambridge: Internat. Press. p. 323-328
    • Christensen E., Sinclair A. M. A cohomological characterization of approximately finite-dimensional von Neumann algebras. Operator Algebras and Quantum Field Theory (Rome, 1996). 1997;Internat. Press, Cambridge. p. 323-328.
    • (1997) Operator Algebras and Quantum Field Theory (Rome, 1996)
    • Christensen, E.1    Sinclair, A.M.2
  • 8
    • 0000758205 scopus 로고
    • On the cohomology of operator algebras
    • Connes A. On the cohomology of operator algebras. J. Funct. Anal. 28:1978;248-253.
    • (1978) J. Funct. Anal. , vol.28 , pp. 248-253
    • Connes, A.1
  • 10
    • 84968503421 scopus 로고
    • Ergodic equivalence relations, cohomology, and von Neumann algebras
    • Feldman J., Moore C. C. Ergodic equivalence relations, cohomology, and von Neumann algebras. Trans. Amer. Math. Soc. 234:1977;289-361.
    • (1977) Trans. Amer. Math. Soc. , vol.234 , pp. 289-361
    • Feldman, J.1    Moore, C.C.2
  • 12
    • 0034628713 scopus 로고    scopus 로고
    • The Effros-Maréchal topology in the space of von Neumann algebras, II
    • Haagerup U., Winslow C. The Effros-Maréchal topology in the space of von Neumann algebras, II. J. Funct. Anal. 171:2000;401-431.
    • (2000) J. Funct. Anal. , vol.171 , pp. 401-431
    • Haagerup, U.1    Winslow, C.2
  • 13
    • 0003266265 scopus 로고
    • Cohomology in Banach algebras
    • Johnson B. E. Cohomology in Banach algebras. Mem. Amer. Math. Soc. 127:1972;1-96.
    • (1972) Mem. Amer. Math. Soc. , vol.127 , pp. 1-96
    • Johnson, B.E.1
  • 14
    • 0041168504 scopus 로고
    • 1 factors without property P but with zero second cohomology
    • 1 factors without property P but with zero second cohomology. Ark. Mat. 12:1974;153-159.
    • (1974) Ark. Mat. , vol.12 , pp. 153-159
    • Johnson, B.E.1
  • 15
    • 0003046026 scopus 로고
    • Cohomology of operator algebras III. Reduction to normal cohomology
    • Johnson B. E., Kadison R. V., Ringrose J. R. Cohomology of operator algebras III. Reduction to normal cohomology. Bull. Soc. Math. France. 100:1972;73-96.
    • (1972) Bull. Soc. Math. France , vol.100 , pp. 73-96
    • Johnson, B.E.1    Kadison, R.V.2    Ringrose, J.R.3
  • 17
    • 0000298136 scopus 로고
    • Derivations of operator algebras
    • Kadison R. V. Derivations of operator algebras. Ann. Math. 83:1966;280-293.
    • (1966) Ann. Math. , vol.83 , pp. 280-293
    • Kadison, R.V.1
  • 18
    • 0000643573 scopus 로고
    • Cohomology of operator algebras. I. Type I von Neumann algebras
    • Kadison R. V., Ringrose J. R. Cohomology of operator algebras. I. Type I von Neumann algebras. Acta Math. 126:1971;227-243.
    • (1971) Acta Math. , vol.126 , pp. 227-243
    • Kadison, R.V.1    Ringrose, J.R.2
  • 19
    • 0000643574 scopus 로고
    • Cohomology of operator algebras. II. Extended cobounding and the hyperfinite case
    • Kadison R. V., Ringrose J. R. Cohomology of operator algebras. II. Extended cobounding and the hyperfinite case. Ark. Mat. 9:1971;55-63.
    • (1971) Ark. Mat. , vol.9 , pp. 55-63
    • Kadison, R.V.1    Ringrose, J.R.2
  • 20
    • 84972494538 scopus 로고
    • A theorem on rings of operators
    • Kaplansky I. A theorem on rings of operators. Pacific J. Math. 1:1951;227-232.
    • (1951) Pacific J. Math. , vol.1 , pp. 227-232
    • Kaplansky, I.1
  • 22
    • 84974058001 scopus 로고
    • Remarks on complemented subspaces of von Neumann algebras
    • Pisier G. Remarks on complemented subspaces of von Neumann algebras. Proc. Roy. Soc. Edinburgh Sect. A. 121:1992;1-4.
    • (1992) Proc. Roy. Soc. Edinburgh Sect. A , vol.121 , pp. 1-4
    • Pisier, G.1
  • 23
    • 0000841311 scopus 로고
    • Projections from a von Neumann algebra onto a subalgebra
    • Pisier G. Projections from a von Neumann algebra onto a subalgebra. Bull. Soc. Math. France. 123:1995;139-153.
    • (1995) Bull. Soc. Math. France , vol.123 , pp. 139-153
    • Pisier, G.1
  • 24
    • 0030195280 scopus 로고    scopus 로고
    • The operator Hilbert space OH, complex interpolation, and tensor norms
    • Pisier G. The operator Hilbert space OH, complex interpolation, and tensor norms. Mem. Amer. Math. Soc. 122:1996;1-103.
    • (1996) Mem. Amer. Math. Soc. , vol.122 , pp. 1-103
    • Pisier, G.1
  • 25
    • 0011027502 scopus 로고
    • Cohomology for certain finite factors
    • Pop F., Smith R. R. Cohomology for certain finite factors. Bull. London Math. Soc. 26:1994;303-308.
    • (1994) Bull. London Math. Soc. , vol.26 , pp. 303-308
    • Pop, F.1    Smith, R.R.2
  • 26
    • 0002158171 scopus 로고
    • On a problem of R. V. Kadison on maximal abelian*-subalgebras in factors
    • Popa S. On a problem of R. V. Kadison on maximal abelian*-subalgebras in factors. Invent. Math. 65:1981;269-281.
    • (1981) Invent. Math. , vol.65 , pp. 269-281
    • Popa, S.1
  • 27
    • 0002496872 scopus 로고
    • 1 factors
    • 1 factors. Math. Scand. 57:1985;171-188.
    • (1985) Math. Scand. , vol.57 , pp. 171-188
    • Popa, S.1
  • 29
    • 0003334041 scopus 로고
    • Cohomology of Operator Algebras
    • Berlin: Springer-Verlag. p. 355-433
    • Ringrose J. R. Cohomology of Operator Algebras. Lecture Notes in Mathematics. 247:1972;Springer-Verlag, Berlin. p. 355-433.
    • (1972) Lecture Notes in Mathematics , vol.247
    • Ringrose, J.R.1
  • 30
    • 0000329747 scopus 로고
    • Derivations of W*-algebras
    • Sakai S. Derivations of W*-algebras. Ann. Math. 83:1966;273-279.
    • (1966) Ann. Math. , vol.83 , pp. 273-279
    • Sakai, S.1
  • 31
    • 0003292032 scopus 로고
    • Hochschild Cohomology of von Neumann Algebras
    • Cambridge: Cambridge Univ. Press
    • Sinclair A. M., Smith R. R. Hochschild Cohomology of von Neumann Algebras. London Math. Soc. Lecture Note Series. 203:1995;Cambridge Univ. Press, Cambridge.
    • (1995) London Math. Soc. Lecture Note Series , vol.203
    • Sinclair, A.M.1    Smith, R.R.2
  • 32
    • 0001366999 scopus 로고    scopus 로고
    • The completely bounded approximation property for discrete crossed products
    • Sinclair A. M., Smith R. R. The completely bounded approximation property for discrete crossed products. Indiana Univ. Math. J. 46:1997;1311-1322.
    • (1997) Indiana Univ. Math. J. , vol.46 , pp. 1311-1322
    • Sinclair, A.M.1    Smith, R.R.2
  • 33
    • 0001157991 scopus 로고    scopus 로고
    • Hochschild cohomology for von Neumann algebras with Cartan subalgebras
    • Sinclair A. M., Smith R. R. Hochschild cohomology for von Neumann algebras with Cartan subalgebras. Amer. J. Math. 120:1998;1043-1057.
    • (1998) Amer. J. Math. , vol.120 , pp. 1043-1057
    • Sinclair, A.M.1    Smith, R.R.2
  • 34
    • 0032584232 scopus 로고    scopus 로고
    • The Hochschild cohomology problem for von Neumann algebras
    • Sinclair A. M., Smith R. R. The Hochschild cohomology problem for von Neumann algebras. Proc. Nat. Acad. Sci. U.S.A. 95:1998;3376-3379.
    • (1998) Proc. Nat. Acad. Sci. U.S.A. , vol.95 , pp. 3376-3379
    • Sinclair, A.M.1    Smith, R.R.2
  • 35
    • 0346595858 scopus 로고    scopus 로고
    • Cohomology for finite index inclusions of factors
    • to appear
    • A. M. Sinclair, and, R. R. Smith, Cohomology for finite index inclusions of factors, J. Operator Theory, to appear.
    • J. Operator Theory
    • Sinclair, A.M.1    Smith, R.R.2
  • 36
    • 0000230935 scopus 로고
    • Completely bounded maps between C*-algebras
    • Smith R. R. Completely bounded maps between C*-algebras. J. London Math. Soc. 27:1983;157-166.
    • (1983) J. London Math. Soc. , vol.27 , pp. 157-166
    • Smith, R.R.1
  • 37
    • 0001098594 scopus 로고
    • Completely bounded module maps and the Haagerup tensor product
    • Smith R. R. Completely bounded module maps and the Haagerup tensor product. J. Funct. Anal. 102:1991;156-175.
    • (1991) J. Funct. Anal. , vol.102 , pp. 156-175
    • Smith, R.R.1
  • 39
    • 0003594304 scopus 로고
    • Tensor products and projections of norm one in von Neumann algebras
    • Copenhagen: Univ. of Copenhagen
    • Tomiyama J. Tensor products and projections of norm one in von Neumann algebras. Lecture Notes. 1970;Univ. of Copenhagen, Copenhagen.
    • (1970) Lecture Notes
    • Tomiyama, J.1
  • 40
    • 0030544382 scopus 로고    scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory. III. The absence of Cartan subalgebras
    • Voiculescu D. The analogues of entropy and of Fisher's information measure in free probability theory. III. The absence of Cartan subalgebras. Geom. Funct. Anal. 6:1996;172-199.
    • (1996) Geom. Funct. Anal. , vol.6 , pp. 172-199
    • Voiculescu, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.