On the 𝐶*-algebra generated by the left regular representation of a locally compact group

Author:

Bédos Erik

Abstract

Let λ \lambda denote the left regular representation of a locally compact group G G on L 2 ( G ) {L^2}(G) and C ( λ ( G ) ) {C^{\ast }}(\lambda (G)) the C {C^{\ast }} -algebra generated by λ ( G ) \lambda (G) . We show that the amenability of G G and the amenability of G G considered as a discrete group both may be characterized in terms of C ( λ ( G ) ) {C^{\ast }}(\lambda (G)) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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