Book Review
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Book Information:
Authors:
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 pp.,
ISBN 0-521-47880-4,
$29.95$
Erik Christensen and Allan M. Sinclair, Representations of completely bounded multilinear operators, J. Funct. Anal. 72 (1987), no. 1, 151–181. MR 883506, DOI 10.1016/0022-1236(87)90084-X
Erik Christensen, Edward G. Effros, and Allan Sinclair, Completely bounded multilinear maps and $C^\ast$-algebraic cohomology, Invent. Math. 90 (1987), no. 2, 279–296. MR 910202, DOI 10.1007/BF01388706
A. Connes, On the cohomology of operator algebras, J. Functional Analysis 28 (1978), no. 2, 248–253. MR 0493383, DOI 10.1016/0022-1236(78)90088-5
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 318908
Richard V. Kadison, Derivations of operator algebras, Ann. of Math. (2) 83 (1966), 280–293. MR 193527, DOI 10.2307/1970433
V. I. Paulsen and R. R. Smith, Multilinear maps and tensor norms on operator systems, J. Funct. Anal. 73 (1987), no. 2, 258–276. MR 899651, DOI 10.1016/0022-1236(87)90068-1
Shôichirô Sakai, Derivations of $W^{\ast }$-algebras, Ann. of Math. (2) 83 (1966), 273–279. MR 193528, DOI 10.2307/1970432
- [CS]
- E. Christensen and A. M. Sinclair, Representations of completely bounded multilinear operators, J. Funct. Anal. 72 (1987), 151 - 181. MR 0883506
- [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 0910202
- [Co]
- A. Connes, On the cohomology of operator algebras, J. Funct. Anal. 28 (1978), 248 - 253. MR 0493383
- [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 0318908
- [K]
- R. V. Kadison, Derivations of operator algebras Ann. Math. 83 (1966), 280 - 293. MR 0193527
- [PS]
- V. I. Paulsen and R. R. Smith, Multilinear maps and tensor norms on operator systems, J. Funct. Anal. 73 (1987), 258 - 276. MR 0899651
- [S]
- S. Sakai, Derivations of W*-algebras, Ann. Math. 83 (1966), 273 - 279. MR 0193528
Review Information:
Reviewer:
William L. Paschke
Affiliation:
University of Kansas
Email:
paschke@math.ukans.edu
Journal:
Bull. Amer. Math. Soc.
34 (1997), 63-65
DOI:
https://doi.org/10.1090/S0273-0979-97-00695-2
Review copyright:
© Copyright 1997
American Mathematical Society
