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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

MathSciNet review: 1567830
Full text of review: PDF   This review is available free of charge.
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.

References [Enhancements On Off] (What's this?)

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  • 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

  • Review Information:

    Reviewer: Allan M. Sinclair
    Journal: Bull. Amer. Math. Soc. 22 (1990), 145-148