20.08.2015 Views

process

K-theory and Noncommutative Geometry.pdf

K-theory and Noncommutative Geometry.pdf

SHOW MORE
SHOW LESS
  • No tags were found...

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

38 R. Meyer[25] —–, Categories of fractions and excision in KK-theory, J. Pure Appl. Algebra 65 (1990),119–138.[26] Nigel Higson, Gennadi Kasparov, E-theory and KK-theory for groups which act properlyand isometrically on Hilbert space, Invent. Math. 144 (2001), 23–74.[27] T. G. Houghton-Larsen, Klaus Thomsen, Universal (co)homology theories, K-Theory 16(1999), 1–27.[28] Michael Joachim, Mark W. Johnson, Realizing Kasparov’s KK-theory groups as the homotopyclasses of maps of a Quillen model category, in An alpine anthology of homotopytheory, Contemp. Math. 399, Amer. Math. Soc. Providence, RI, 2006, 163–197.[29] G. G. Kasparov, Topological invariants of elliptic operators. I. K-homology, Izv. Akad. NaukSSSR Ser. Mat. 39 (1975), 796–838; English transl. Math. USSR-Izv. 9 (1975), 751–792.[30] —–, The operator K-functor and extensions of C -algebras, Izv. Akad. Nauk SSSR Ser. Mat.44 (1980), 571–636 (in Russian).[31] —–, Equivariant KK-theory and the Novikov conjecture, Invent. Math. 91 (1988), 147–201.[32] G. G. Kasparov, Georges Skandalis, Groups acting on buildings, operator K-theory, andNovikov’s conjecture, K-Theory 4 (1991), 303–337.[33] Eberhard Kirchberg, Simon Wassermann, Permanence properties of C -exact groups, Doc.Math. 4 (1999), 513–558.[34] E. C. Lance, Hilbert C -modules, A toolkit for operator algebraists, London Math. Soc.Lecture Note Ser. 210, Cambridge University Press, Cambridge 1995.[35] Saunders Mac Lane, Categories for the working mathematician, Grad. Texts in Math. 5,2nd ed., Springer-Verlag, New York 1998.[36] Ralf Meyer, Equivariant Kasparov theory and generalized homomorphisms, K-Theory 21(2000), 201–228.[37] —–, Local and Analytic Cyclic Homology, EMS Tracts Math. 3, Europ. Math. Soc. Publ.House, Zürich 2007.[38] Ralf Meyer, Ryszard Nest, The Baum–Connes conjecture via localisation of categories,Topology 45 (2006), 209–259.[39] —–, Homological algebra in bivariant K-theory and other triangulated categories. I, preprint2007 http://www.arxiv.org/math.KT/0702146.[40] —–, An analogue of the Baum–Connes conjecture for coactions of compact groups, Math.Scand. 100 (2007), 301–316.[41] J. A. Mingo, W. J. Phillips, Equivariant triviality theorems for Hilbert C -modules, Proc.Amer. Math. Soc. 91 (1984), 225–230.[42] Gerard J. Murphy, C -algebras and operator theory, Academic Press Inc. Boston, MA,1990.[43] Narutaka Ozawa, Amenable actions and exactness for discrete groups, C. R. Acad. Sci.Paris Sér. I Math. 330 (2000), 691–695.[44] Gert K. Pedersen, C -algebras and their automorphism groups, London Math. Soc.Monogr. 14, Academic Press Inc., London 1979.[45] Michael Puschnigg, Diffeotopy functors of ind-algebras and local cyclic cohomology, Doc.Math. 8 (2003), 143–245.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!