Work

Centre of Banach Algebra Valued Beurling Algebras

Year: 2021

Type: article

Abstract: We prove that for a Banach algebraAhaving a bounded $\mathcal {Z}(A)$ -approximate identity and for every $\mathbf {[IN]}$ groupGwith a weightwwhich is either constant on conjugacy classes or satisfies $w \geq 1$ , $\mathcal {Z}(L^{1}_{w}(G) \otimes ^{\gamma } A) \cong \mathcal {Z}(L^{1}_{w}(G)) \otimes ^{\gamma } \mathcal {Z}(A)$ . As an application, we discuss the conditions under which $\mathcal {Z}(L^{1}_{\omega }(G,A))$ enjoys certain Banach algebraic properties, such as weak amenability or semisimplicity.

Source: Bulletin of the Australian Mathematical Society

DOI: 10.1017/s0004972721000691

Authors: BHARAT TALWAR, RANJANA JAIN

Institution: University of Delhi

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,545

OpenAlex ID: W3142880197

FWCI:

Cites: 19

Cited by: 1

Related to: 10