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K-theory and Noncommutative Geometry.pdf

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Categorical aspects of bivariant K-theory 39[46] Marc A. Rieffel, Induced Representations of C -Algebras, Adv. Math. 13 (1974), 176–257.[47] —–, Morita Equivalence for C -Algebras and W -Algebras, J. Pure Appl. Algebra 5(1974), 51–96.[48] —–, Strong Morita Equivalence of Certain Transformation Group C -Algebras, Math.Ann. 222 (1976), 7–22.[49] Jonathan Rosenberg, Algebraic K-theory and its applications, Grad. Texts in Math. 147,Springer-Verlag, New York 1994.[50] Jonathan Rosenberg, Claude Schochet, The Künneth theorem and the universal coefficienttheorem for equivariant K-theory and KK-theory, Mem. Amer. Math. Soc. 62 (348) (1986).[51] Jonathan Rosenberg, Claude Schochet, The Künneth theorem and the universal coefficienttheorem for Kasparov’s generalized K-functor, Duke Math. J. 55 (1987), 431–474.[52] Neantro Saavedra Rivano, Catégories Tannakiennes, Lecture Notes in Math. 265, Springer-Verlag, Berlin 1972.[53] Claude L. Schochet, Topological methods for C -algebras. II. Geometric resolutions andthe Künneth formula, Pacific J. Math. 98 (1982), 443–458.[54] —–, Topological methods for C -algebras. III. Axiomatic homology, Pacific J. Math. 114(1984), 399–445.[55] Georges Skandalis, Une notion de nucléarité en K-théorie (d’après J. Cuntz), K-Theory 1(1988), 549–573.[56] —–, Kasparov’s bivariant K-theory and applications, Exposition. Math. 9 (1991), 193–250.[57] Andreas Thom, Connective E-theory and bivariant homology for C -algebras, Ph.D. thesis,2003, Westf. Wilhelms-Universität Münster, Preprintreihe SFB 478 Münster 289.[58] Klaus Thomsen, The universal property of equivariant KK-theory, J. Reine Angew. Math.504 1998, 55–71.[59] —–, Asymptotic homomorphisms and equivariant KK-theory, J. Funct. Anal. 163 (1999),324–343.[60] Simon Wassermann, Exact C -algebras and related topics, Lecture Notes Series 19, SeoulNational University Research Institute of Mathematics Global Analysis Research Center,Seoul 1994.

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