Bulletin of the American Mathematical Society

MathSciNet review: 1567830
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Book Information:

Author: 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.

W. G. Bade, P. C. Curtis Jr., and H. G. Dales, Amenability and weak amenability for Beurling and Lipschitz algebras, Proc. London Math. Soc. (3) 55 (1987), no. 2, 359–377. MR 896225, DOI 10.1093/plms/s3-55_{2}.359

A. Connes, Classification of injective factors. Cases $II_{1},$ $II_{\infty },$ $III_{\lambda },$ $\lambda \not =1$, Ann. of Math. (2) 104 (1976), no. 1, 73–115. MR 454659, DOI 10.2307/1971057

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

Joachim Cuntz, $K$-theoretic amenability for discrete groups, J. Reine Angew. Math. 344 (1983), 180–195. MR 716254, DOI 10.1515/crll.1983.344.180

U. Haagerup, All nuclear $C^{\ast }$-algebras are amenable, Invent. Math. 74 (1983), no. 2, 305–319. MR 723220, DOI 10.1007/BF01394319

Uffe Haagerup, A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space, J. Funct. Anal. 62 (1985), no. 2, 160–201. MR 791846, DOI 10.1016/0022-1236(85)90002-3

Barry Edward Johnson, Cohomology in Banach algebras, Memoirs of the American Mathematical Society, No. 127, American Mathematical Society, Providence, R.I., 1972. MR 0374934

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 0896225

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