Skip to Main Content

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: 1568037
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Kjeld Knudsen Jensen and Klaus Thomsen
Title: Elements of $KK$-theory
Additional book information: Mathematics: Theory \&\ Applications, Birkh\"auser, Boston, Basel, and Berlin, 1991, viii + 202 pp., US$49.50. ISBN 0-8176-3496-7, ISBN 3-7643-3496-7.

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

  • M. F. Atiyah, R. Bott, and A. Shapiro, Clifford modules, Topology 3 (1964), no. suppl, suppl. 1, 3–38. MR 167985, DOI 10.1016/0040-9383(64)90003-5
  • M. F. Atiyah and F. Hirzebruch, Vector bundles and homogeneous spaces, Proc. Sympos. Pure Math., Vol. III, American Mathematical Society, Providence, R.I., 1961, pp. 7–38. MR 0139181
  • M. F. Atiyah and I. M. Singer, The index of elliptic operators. I, Ann. of Math. (2) 87 (1968), 484–530. MR 236950, DOI 10.2307/1970715
  • Bruce Blackadar, $K$-theory for operator algebras, Mathematical Sciences Research Institute Publications, vol. 5, Springer-Verlag, New York, 1986. MR 859867, DOI 10.1007/978-1-4613-9572-0
  • L. G. Brown, R. G. Douglas, and P. A. Fillmore, Extensions of $C^*$-algebras and $K$-homology, Ann. of Math. (2) 105 (1977), no. 2, 265–324. MR 458196, DOI 10.2307/1970999
  • A. Connes and G. Skandalis, The longitudinal index theorem for foliations, Publ. Res. Inst. Math. Sci. 20 (1984), no. 6, 1139–1183. MR 775126, DOI 10.2977/prims/1195180375
  • Thierry Fack, $K$-théorie bivariante de Kasparov, Bourbaki seminar, Vol. 1982/83, Astérisque, vol. 105, Soc. Math. France, Paris, 1983, pp. 149–166 (French). MR 728986
  • Michel Hilsum and Georges Skandalis, Morphismes $K$-orientés d’espaces de feuilles et fonctorialité en théorie de Kasparov (d’après une conjecture d’A. Connes), Ann. Sci. École Norm. Sup. (4) 20 (1987), no. 3, 325–390 (French, with English summary). MR 925720
  • G. G. Kasparov, Topological invariants of elliptic operators. I. $K$-homology, Izv. Akad. Nauk SSSR Ser. Mat. 39 (1975), no. 4, 796–838 (Russian); Russian transl., Math. USSR-Izv. 9 (1975), no. 4, 751–792 (1976). MR 0488027
  • G. G. Kasparov, The operator $K$-functor and extensions of $C^{\ast }$-algebras, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), no. 3, 571–636, 719 (Russian). MR 582160
  • G. G. Kasparov, Equivariant $KK$-theory and the Novikov conjecture, Invent. Math. 91 (1988), no. 1, 147–201. MR 918241, DOI 10.1007/BF01404917
  • Christopher Lance, Book Review: $K$-theory for operator algebras, Bull. Amer. Math. Soc. (N.S.) 18 (1988), no. 1, 67–73. MR 1567660, DOI 10.1090/S0273-0979-1988-15604-2
  • A. S. Miščenko and A. T. Fomenko, The index of elliptic operators over $C^{\ast }$-algebras, Izv. Akad. Nauk SSSR Ser. Mat. 43 (1979), no. 4, 831–859, 967 (Russian). MR 548506
    •
    Review Information:

    Reviewer: Jonathan Rosenberg
    Journal: Bull. Amer. Math. Soc. 28 (1993), 342-347
    DOI: https://doi.org/10.1090/S0273-0979-1993-00361-6