Inner amenability and conjugation operators-Reference-Cited by-同舟云学术

Inner amenability and conjugation operators

Published:1978 Issue:1 Volume:71 Page:117-118
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Paschke William L.

Abstract

It is shown that an infinite discrete group G is inner amenable if and only if the C ∗ {C^ \ast } -algebra generated by the unitaries on l 2 ( G ) {l^2}(G) corresponding to conjugation by s ( s ∈ G ) (s \in G) does not contain the projection on the point-mass at the identity.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-071-01/S0002-9939-1978-0473849-5/S0002-9939-1978-0473849-5.pdf

Reference3 articles.

1. Computing norms in group 𝐶*-algebras;Akemann, Charles A.;Amer. J. Math.,1976

2. \bysame, On a tensor product 𝐶*-algebra associated with the free group on two generators (preprint).

3. Property Γ and inner amenability;Effros, Edward G.;Proc. Amer. Math. Soc.,1975

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