Abstract
We report on joint work with E. Kirchberg on C*-exact groups, which will appear in [KW1] and [KW2], and discuss some of the open problems in the area.
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References
S. Adams, Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups. Topology 33 (1994), 765–783.
M.-D. Choi, A simple C*-algebra generated by two finite-order unitaries. Can. J. Math. 31 (1979), 887–890.
S. Echterhoff, Morita equivalent twisted actions and a new version of the Packer-Raeburn stabilization trick. J. London Math. Soc. (2) 50 (1994), no. 1, 170–186.
P. Green, The local structure of twisted covariance algebras. Acta Math. 140 (1978), 191–250.
E. Kirchberg, The Fubini theorem for exact C*-algebras. J. Operator Theory 10 (1983), 3–8.
E. Kirchberg, On subalgebras of the CAR-algebra. J. Funct. Anal. 129 (1995), 35–63.
E. Kirchberg, On non-semisplit extensions, tensor products and exactness of group C*-algebras. Invent. Math. 112 (1993), 449–489.
E. Kirchberg, The classification of purely infinite C*-algebras using Kasparov’s theory. (Preprint, 1994.)
E. Kirchberg, N.C. Phillips, Embeddings of exact C*-algebras and continuous fields in the Cuntz algebra O2. (Preprint, 1996.)
E. Kirchberg, S. Wassermann, Exact groups and continuous bundles of C*-algebras, Math. Ann. (To appear.)
E. Kirchberg, S. Wassermann, Permanence properties of C*-exact groups, Documenta Math., to appear.
I. Raeburn, Induced C*-algebras and a symmetric imprimitivity theorem. Math. Ann. 280 (1988), 369–387.
M.A. Rieffel, Induced representations of C*-algebras. Advances in Math. 13 (1974), 176–257.
M.A. Rieffel, Unitary representations of group extensions; an algebraic approach to the theory of Mackey and Blattner. Advances in Math. Supplementary Studies 4 (1979), 43–82.
M. Takesaki, On the cross-norm of the direct product of C*-algebras. Tôhoku Math. J. 15 (1964), 111–122.
S. Wassermann, On tensor products of certain group C*-algebras. J. Functional Analysis 23 (1976), 239–254.
S. Wassermann, Tensor products of free-group C*-algebras. Bull. London Math. Soc. 22 (1990), 375–380.
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© 2000 Springer-Verlag Berlin Heidelberg
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Wassermann, S. (2000). C*-Exact Groups. In: Cuntz, J., Echterhoff, S. (eds) C*-Algebras. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57288-3_13
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DOI: https://doi.org/10.1007/978-3-642-57288-3_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67562-4
Online ISBN: 978-3-642-57288-3
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