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$B^p_r(F_n)$ HAS NO NONTRIVIAL IDEMPOTENTS
Part of:
Topological algebras, normed rings and algebras, Banach algebras
Abstract harmonic analysis
Published online by Cambridge University Press: 06 October 2022
Abstract
We show that there is no nontrivial idempotent in the reduced group 
$\ell ^p$-operator algebra 
$B^p_r(F_n)$ of the free group 
$F_n$ on n generators for each positive integer n.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 108 , Issue 1 , August 2023 , pp. 142 - 149
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Footnotes
The second author is supported by NSFC (No. 12171156).
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