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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$K$-exact groups and coarsely embeddable groups
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by Semaı̇l Ülgen Yildirim PDF
Proc. Amer. Math. Soc. 137 (2009), 2393-2402 Request permission

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