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Journal fur die Reine und Angewandte Mathematik
Volumn 504, Issue , 1998, Pages 55-71
The universal property of equivariant KK-theory
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EID: 0032221911     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.1998.112     Document Type: Article
Times cited : (29)
References (13)
  • 1
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    • (1989) K-theory , vol.2 , pp. 683-721
    • Baaj, S.1    Skandalis, G.2
  • 2
    • 0003882539 scopus 로고
    • [Bl] MSRI Publications, Springer-Verlag, New York
    • [Bl] B. Blackadar, K-theory for Operator Algebras, MSRI Publications 5, Springer-Verlag, New York 1986.
    • (1986) K-theory for Operator Algebras , vol.5
    • Blackadar, B.1
  • 3
    • 0001380544 scopus 로고
    • Une classification des facteurs de type III
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    • [C] A. Connes, Une classification des facteurs de type III, Ann. Sci. Ec. Norm. Sup. 6 (1973), 133-252.
    • (1973) Ann. Sci. Ec. Norm. Sup. , vol.6 , pp. 133-252
    • Connes, A.1
  • 4
    • 0006806273 scopus 로고
    • K-theory and C*-algebras
    • [Cu1] Springer-Verlag, New York
    • [Cu1] J. Cuntz, K-theory and C*-algebras, Lect. Notes Math. 1031, Springer-Verlag, New York (1983), 31-45.
    • (1983) Lect. Notes Math. , vol.1031 , pp. 31-45
    • Cuntz, J.1
  • 5
    • 0001018448 scopus 로고    scopus 로고
    • Bivariante K-theorie für lokalkonvexe Algebren und der Chern-Connes-Character
    • [Cu2]
    • [Cu2] J. Cuntz, Bivariante K-theorie für lokalkonvexe Algebren und der Chern-Connes-Character, Doc. Math. J. DMV 2 (1997), 213-261.
    • (1997) Doc. Math. J. DMV , vol.2 , pp. 213-261
    • Cuntz, J.1
  • 6
    • 84972582179 scopus 로고
    • A characterization of KK-theory
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    • [Hig] N. Higson, A characterization of KK-theory, Pac. J. Math. 126 (1987), 253-276.
    • (1987) Pac. J. Math. , vol.126 , pp. 253-276
    • Higson, N.1
  • 7
    • 0000897530 scopus 로고    scopus 로고
    • Universal (co)homology theories
    • [H-LT] to appear
    • [H-LT] T. Houghton-Larsen and K. Thomsen, Universal (co)homology theories, K-theory, to appear.
    • K-theory
    • Houghton-Larsen, T.1    Thomsen, K.2
  • 8
    • 0001170704 scopus 로고
    • The operator K-functor and extensions of C*-algebras
    • [K1]
    • [K1] G. Kasparov, The operator K-functor and extensions of C*-algebras, Izv. Akad. Nauk. SSSR ser. Mat. 44 (1980), 571-636.
    • (1980) Izv. Akad. Nauk. SSSR Ser. Mat. , vol.44 , pp. 571-636
    • Kasparov, G.1
  • 9
    • 0000037554 scopus 로고
    • K-theory, group C*-algebras, and higher signatures (Conspectus) Novikov Conjectures
    • [K2], Index Theorems and Rigidity, Vol. 1, London Mathematical Society, Cambridge University Press (Original distributed 1981.)
    • [K2] G. Kasparov, K-theory, group C*-algebras, and higher signatures (Conspectus) Novikov Conjectures, Index Theorems and Rigidity, Vol. 1, London Mathematical Society, LNS 226, Cambridge University Press (1995), 101-146. (Original distributed 1981.)
    • (1995) LNS , vol.226 , pp. 101-146
    • Kasparov, G.1
  • 10
    • 34250090959 scopus 로고
    • Equivariant KK-theory and the Novikov conjecture
    • [K3]
    • [K3] G. Kasparov, Equivariant KK-theory and the Novikov conjecture, Invent. Math. 91 (1988), 513-572.
    • (1988) Invent. Math. , vol.91 , pp. 513-572
    • Kasparov, G.1
  • 12
    • 0000208834 scopus 로고
    • Exact sequences for the Kasparov groups of graded algebras
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    • [Sk] G. Skandalis, Exact sequences for the Kasparov groups of graded algebras, Can. J. Math. XXXVII (1976), 193-216.
    • (1976) Can. J. Math. , vol.37 , pp. 193-216
    • Skandalis, G.1

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