Weakly amenable groups and amalgamated products
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- by Marek Bożejko and Massimo A. Picardello PDF
- Proc. Amer. Math. Soc. 117 (1993), 1039-1046 Request permission
Abstract:
Denote by ${B_2}(G)$ the Herz-Schur multiplier algebra of a locally compact group $G$ and by ${B_{2,\lambda }}(G)$ the closure of the Fourier algebra in the topology of pointwise convergence boundedly in the norm of ${B_2}(G)$. $G$ is said to be weakly amenable if ${B_{2,\lambda }}(G) = {B_2}(G)$. We show that every amalgamated product of a countable collection of locally compact amenable groups over a compact open subgroup is weakly amenable. This improves and extends previous results that hold for amalgams of compact groups.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 1039-1046
- MSC: Primary 43A22; Secondary 20E06, 20E08, 43A07, 46J99
- DOI: https://doi.org/10.1090/S0002-9939-1993-1119263-9
- MathSciNet review: 1119263