## Bulletin of the Belgian Mathematical Society - Simon Stevin

### On the Hochschild cohomology of Beurling Algebras

#### 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.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 13, Number 2 (2006), 305-318.

Dates
First available in Project Euclid: 19 May 2006

https://projecteuclid.org/euclid.bbms/1148059465

Digital Object Identifier
doi:10.36045/bbms/1148059465

Mathematical Reviews number (MathSciNet)
MR2259909

Zentralblatt MATH identifier
1138.43004

#### Citation

Feizi, E.; Pourabbas, A. On the Hochschild cohomology of Beurling Algebras. Bull. Belg. Math. Soc. Simon Stevin 13 (2006), no. 2, 305--318. doi:10.36045/bbms/1148059465. https://projecteuclid.org/euclid.bbms/1148059465