Isomorphisms of locally compact groups and Banach algebras
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- by Anthony To Ming Lau and Kelly McKennon PDF
- Proc. Amer. Math. Soc. 79 (1980), 55-58 Request permission
Abstract:
If G is a locally compact group, then $\mathrm {UBC}_r (G)^*$, the dual of the space of bounded right uniformly continuous complex-valued functions on G, with the Arens product is a Banach algebra. We prove in this paper a result that will have as a consequence the following: Let ${G_1},{G_2}$ be locally compact groups. Then the Banach algebras $\mathrm {UBC}_r{({G_1})^ \ast }$ and $\mathrm {UBC}_r{({G_2})^\ast }$ are isometric isomorphic if and only if ${G_1}$ and ${G_2}$ are topologically isomorphic.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 55-58
- MSC: Primary 43A22; Secondary 43A15
- DOI: https://doi.org/10.1090/S0002-9939-1980-0560583-5
- MathSciNet review: 560583