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Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space.
- Source :
- Journal für die Reine und Angewandte Mathematik; Jan2018, Vol. 2017 Issue 734, p265-292, 28p
- Publication Year :
- 2018
-
Abstract
- We prove the K-theoretic Farrell-Jones conjecture for groups with the Haagerup approximation property and coefficient rings and C*-algebras which are stable with respect to compact operators. We use this and Higson-Kasparov's result that the Baum-Connes conjecture holds for such a group G, to show that the algebraic and the C*-crossed product of G with a stable separable G-C*-algebra have the same K-theory. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00754102
- Volume :
- 2017
- Issue :
- 734
- Database :
- Complementary Index
- Journal :
- Journal für die Reine und Angewandte Mathematik
- Publication Type :
- Academic Journal
- Accession number :
- 127788768
- Full Text :
- https://doi.org/10.1515/crelle-2014-0154