Inner amenability and conjugation operators
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- by William L. Paschke PDF
- Proc. Amer. Math. Soc. 71 (1978), 117-118 Request permission
Abstract:
It is shown that an infinite discrete group G is inner amenable if and only if the ${C^ \ast }$-algebra generated by the unitaries on ${l^2}(G)$ corresponding to conjugation by s $(s \in G)$ does not contain the projection on the point-mass at the identity.References
- Charles A. Akemann and Phillip A. Ostrand, Computing norms in group $C^*$-algebras, Amer. J. Math. 98 (1976), no. 4, 1015–1047. MR 442698, DOI 10.2307/2374039 —, On a tensor product ${C^\ast }$-algebra associated with the free group on two generators (preprint).
- Edward G. Effros, Property $\Gamma$ and inner amenability, Proc. Amer. Math. Soc. 47 (1975), 483–486. MR 355626, DOI 10.1090/S0002-9939-1975-0355626-6
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 71 (1978), 117-118
- MSC: Primary 46L05; Secondary 22D25
- DOI: https://doi.org/10.1090/S0002-9939-1978-0473849-5
- MathSciNet review: 0473849