$K$-exact groups and coarsely embeddable groups
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Abstract:
In this paper we introduce the notion of $K$-exact $C^{*}$-algebras, in particular $K$-exact groups. We prove that $K$-exactness is stable under direct limits and that coarsely embeddable groups are $K$-exact groups under a technical condition.References
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Additional Information
- Semaı̇l Ülgen Yildirim
- Affiliation: Department of Mathematics, Northwestern University, 2033 Sheridan Road, Lunt Hall 223, Evanston, Illinois 60208-2370
- Email: sulgen@math.northwestern.edu
- Received by editor(s): October 2, 2008
- Published electronically: February 17, 2009
- Communicated by: Marius Junge
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 2393-2402
- MSC (2000): Primary 46L80; Secondary 19K35, 46L06
- DOI: https://doi.org/10.1090/S0002-9939-09-09870-0
- MathSciNet review: 2495274