On the $C^ \ast$-algebra generated by the left regular representation of a locally compact group
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Abstract:
Let $\lambda$ denote the left regular representation of a locally compact group $G$ on ${L^2}(G)$ and ${C^{\ast }}(\lambda (G))$ the ${C^{\ast }}$-algebra generated by $\lambda (G)$. We show that the amenability of $G$ and the amenability of $G$ considered as a discrete group both may be characterized in terms of ${C^{\ast }}(\lambda (G))$.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 603-608
- MSC: Primary 22D25; Secondary 43A07, 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1994-1181157-1
- MathSciNet review: 1181157