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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

Author(s): Allan M. Sinclair and Roger R. Smith
Title: Hochschild cohomology of von Neumann algebras
Additional book information: London Math. Soc. Lecture Note Ser., vol. 203, Cambridge Univ. Press, Cambridge, 1995, vii+196, $29.95, ISBN 0-521-47880-4


References:

[CS]
E. Christensen and A. M. Sinclair, Representations of completely bounded multilinear operators, J. Funct. Anal. 72 (1987), 151 - 181. MR 89f:46113

[CES]
E. Christensen, E. G. Effros, and A. M. Sinclair, Completely bounded multilinear maps and and C*-algebraic cohomology, Invent. Math. 90 (1987), 279 - 296. MR 89k:46084

[Co]
A. Connes, On the cohomology of operator algebras, J. Funct. Anal. 28 (1978), 248 - 253. MR 58:12407

[JKR]
B. E. Johnson, R. V. Kadison, and J. R. Ringrose, Cohomology of operator algebras III. Reduction to normal cohomology, Bull. Soc. Math. France 100 (1972), 73 - 96. MR 47:7454

[K]
R. V. Kadison, Derivations of operator algebras Ann. Math. 83 (1966), 280 - 293. MR 33:1747

[PS]
V. I. Paulsen and R. R. Smith, Multilinear maps and tensor norms on operator systems, J. Funct. Anal. 73 (1987), 258 - 276. MR 89m:46099

[S]
S. Sakai, Derivations of W*-algebras, Ann. Math. 83 (1966), 273 - 279. MR 33:1748



Additional Information:

Reviewer(s):
William L. Paschke
Affiliation: University of Kansas
Email: paschke@math.ukans.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 34 (1997), 63-65.

MSC (1991): Primary 46L10, 46L05, 46M20
DOI: 10.1090/S0273-0979-97-00695-2
PII: S 0273-0979(97)00695-2
Copyright of article: Copyright 1997, American Mathematical Society


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