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Book Review
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Book Information
Author(s):
J.-P. Pier
Title:
Amenable Banach algebras
Additional book information:
Pitman Research Notes in Mathematics Series, vol. 172, Longman Scientific and Technical, Harlow and New York, 1988, 161 pp., $47.95. ISBN 0-582-01480-8
References:
- 1.
- W. G. Bade, P. C. Curtin and H. G. Dales, Amenability and weak amenability for Beurling and Lipschitz algebras, Proc. London Math. Soc. (3) 55 (1987), 359-387. MR 896225
- 2.
- A. Connes, Classification of injective factors, Ann. of Math. (2) 104 (1976), 73-115. MR 454659
- 3.
- A. Connes, On the cohomology of operator algebras, J. Functional Analysis 28 (1978), 248-253. MR 493383
- 4.
- J. Cuntz, K-theoretic amenability for discrete groups, J. Reine Angew. Math. 344 (1983), 180-195. MR 716254
- 5.
- U. Haagerup, All nuclear C*-algebras are amenable, Invent. Math. 74 (1983), 305-319. MR 723220
- 6.
- U. Haagerup, A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space, J. Functional Analysis 62 (1985), 160-201. MR 791846
- 7.
- B. E. Johnson, Cohomology in Banach algebras, Mem. Amer. Math. Soc., no. 127, Providence, R. I., 1972. MR 374934
Additional Information:
Reviewer(s):
Allan M.
Sinclair
Review Information:
Journal:
Bull. Amer. Math. Soc.
22
(1990),
145-148.
DOI:
10.1090/S0273-0979-1990-15865-3
PII:
S 0273-0979(1990)15865-3
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