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Book Review
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Book Information
Author(s):
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:
-
- [ABS]
- M. F. Atiyah, R. Bott, and A. Shapiro, Clifford modules, Topology 3 (1964), 3-38. MR 0167985 (29:5250)
- [AH]
- M. F. Atiyah and F. Hirzebruch, Vector bundles and homogeneous spaces, Differential Geometry, Proc. Sympos. Pure Math., vol. 3, Amer. Math. Soc., Providence, RI, 1961, pp. 7-38. MR 0139181 (25:2617)
- [AS]
- M. F. Atiyah and I. M. Singer, The index of elliptic operators. I, Ann. of Math. (2) 87 (1968), 484-530; II (M. F. Atiyah and G. Segal), ibid. 87 (1968), 531-545; III, ibid. 87 (1968), 546-604; IV, ibid. 93 (1971), 119-138; V, ibid. 93 (1971), 139-149. MR 0236950 (38:5243)
- [B]
- B. Blackadar, K-Theory for operator algebras, Math. Sci. Res. Inst. Publ., vol. 5, Springer-Verlag, New York, Berlin, Heidelberg, London, Paris, and Tokyo, 1986. MR 859867 (88g:46082)
- [BDF]
- L. G. Brown, R. G. Douglas, and P. Fillmore, Extensions of
 -algebras and K-homology, Ann. of Math. (2) 105 (1977), 265-324. MR 0458196 (56:16399) - [CS]
- A. Connes and G. Skandalis, The longitudinal index theorem for foliations, Publ. Res. Inst. Math. Sciences (Kyoto) 20 (1984), 1139-1183. MR 775126 (87h:58209)
- [F]
- T. Fack, K-théorie bivariante de Kasparov, Séminaire Bourbaki, 1982-83, exposé no. 605, Astérisque 105-106 (1983), 149-166. MR 728986 (86f:46075)
- [HS]
- M. Hilsum and G. Skandalis, Morphismes K-orientés d'espaces de feuilles et fonctorialité en théorie de Kasparov, Ann. Sci. École Norm. Sup. (4) 20 (1987), 325-390. MR 925720 (90a:58169)
- [K1]
- G. G. Kasparov, Topological invariants of elliptic operators, I: K-homology, Izv. Akad. Nauk SSSR Ser. Mat. 39 (1975), 796-838; English translation, Math. USSR-Izv. 9 (1975), 751-792. MR 0488027 (58:7603)
- [K2]
- -, The operator K-functor and extensions of
 -algebras, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), 571-636; English translation, Math. USSR-Izv. 16 (1981), 513-572. MR 582160 (81m:58075) - [K3]
- -, Equivariant KK-theory and the Novikov conjecture, Invent. Math. 91 (1988), 147-201. MR 918241 (88j:58123)
- [L]
- C. Lance, Review of [B], Bull. Amer. Math. Soc. 18 (1988), 67-73. MR 1567660
- [MF]
- A. S. Miščenko and A. T. Fomenko, The index of elliptic operators over
 -algebras, Izv. Akad. Nauk SSSR Ser. Mat. 43 (1979), 831-859; English transl., Math. USSR-Izv. 15 (1980), 87-112. MR 548506 (81i:46075)
Additional Information:
Reviewer(s):
Jonathan
Rosenberg
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
342-347.
DOI:
10.1090/S0273-0979-1993-00361-6
PII:
S 0273-0979(1993)00361-6
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