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K-theory and Noncommutative Geometry.pdf

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Categorical aspects of bivariant K-theory 37[4] Paul Baum, Alain Connes, Nigel Higson, Classifying space for proper actions and K-theoryof group C -algebras, in C -algebras: 1943–1993 (San Antonio, TX, 1993), Contemp.Math. 167, Amer. Math. Soc., Providence, RI 1994, 240–291 .[5] Bruce Blackadar, K-theory for operator algebras, Math. Sci. Res. Inst. Publ. 5, 2nd ed.,Cambridge University Press, Cambridge 1998.[6] L. G. Brown, R. G. Douglas, P. A. Fillmore, Extensions of C -algebras and K-homology,Ann. of Math. (2) 105 (1977), 265–324,[7] Lawrence G. Brown, Philip Green, Marc A. Rieffel, Stable isomorphism and strong Moritaequivalence of C -algebras, Pacific J. Math. 71 (1977), 349–363.[8] Alain Connes, Nigel Higson, Déformations, morphismes asymptotiques et K-théorie bivariante,C. R. Acad. Sci. Paris Sér. I Math. 311 (1990), 101–106.[9] Joachim Cuntz, Generalized homomorphisms between C -algebras and KK-theory, inDynamics and <strong>process</strong>es, Lecture Notes in Math. 1031, Springer-Verlag, Berlin 1983,31–45.[10] —–, A new look at KK-theory, K-Theory 1 (1987), 31–51.[11] Joachim Cuntz, Ralf Meyer, Jonathan Rosenberg, Topological and bivariant K-theory,Oberwolfach Semin. 36, Birkhäuser, Basel 2007.[12] Marius Dadarlat, On the topology of the Kasparov groups and its applications, J. Funct.Anal. 228 (2005), 394–418.[13] Kenneth R. Davidson, C -algebras by example, Fields Inst. Monogr. 6, Amer. Math. Soc.,Providence, RI, 1996.[14] James F. Davis, Wolfgang Lück, Spaces over a category and assembly maps in isomorphismconjectures in K- and L-theory, K-Theory 15 (1998), 201–252.[15] George A. Elliott, On the classification of inductive limits of sequences of semisimplefinite-dimensional algebras, J. Algebra 38 (1976), 29–44.[16] Heath Emerson, Ralf Meyer, Dualizing the coarse assembly map, J. Inst. Math. Jussieu 5(2006), 161–186.[17] —–, Euler characteristics and Gysin sequences for group actions on boundaries, Math. Ann.334 (2006), 853–904.[18] —–, A descent principle for the Dirac–dual-Dirac method, Topology 46 (2007), 185–209.[19] —–, Coarse and equivariant co-assembly maps, in K-theory and Noncommutative Geometry(Valladolid, 2006), EMS Ser. Congr. Rep., Europ. Math. Soc. Publ. House, Zürich 2008,71–89.[20] Alexander Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem.Amer. Math. Soc. 1955 (16) (1955).[21] Erik Guentner, Nigel Higson, Jody Trout, Equivariant E-theory for C -algebras, Mem.Amer. Math. Soc. 148 (703) (2000).[22] Ulrich Haag, On Z=2Z-graded KK-theory and its relation with the graded Ext-functor,J. Operator Theory 42 (1999), 3–36.[23] Nigel Higson, A characterization of KK-theory, Pacific J. Math., 126 (1987), 253–276.[24] —–, Algebraic K-theory of stable C -algebras, Adv. in Math. 67 (1988), 1–140.

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