Open Access
June 2006 On the Hochschild cohomology of Beurling Algebras
E. Feizi, A. Pourabbas
Bull. Belg. Math. Soc. Simon Stevin 13(2): 305-318 (June 2006). DOI: 10.36045/bbms/1148059465

Abstract

Let $G$ be a locally compact group and let $\omega$ be a weight function on $G$. Under a very mild assumption on $\omega$, we show that $L^1(G,\omega)$ is (2n+1)-weakly amenable for every $n\in \mathbb Z^+$. Also for every odd $n\in\mathbb{N}$ we show that $\h^2(L^1(G,\omega),(L^1(G,\omega))^{(n)})$ is a Banach space.

Citation

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E. Feizi. A. Pourabbas. "On the Hochschild cohomology of Beurling Algebras." Bull. Belg. Math. Soc. Simon Stevin 13 (2) 305 - 318, June 2006. https://doi.org/10.36045/bbms/1148059465

Information

Published: June 2006
First available in Project Euclid: 19 May 2006

zbMATH: 1138.43004
MathSciNet: MR2259909
Digital Object Identifier: 10.36045/bbms/1148059465

Subjects:
Primary: 43A20
Secondary: 46M20

Keywords: Beurling algebra , Cohomology , weak amenability

Rights: Copyright © 2006 The Belgian Mathematical Society

Vol.13 • No. 2 • June 2006
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