The Criterion of Completely Reducibility for Continuous Representations of Group Algebras

2010/08/19 by Vladimir Chilin, Chilin V. I., I., Chilin V. +2
Mathematics · #46 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:46

paper · pdf · doi:10.48550/arxiv.1008.3211

10 pages

arxiv created 2010/08/19 · openalex publication_date 2010/08/19 · arxiv updated 2010/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that every nonsingular continuous representation of the group algebra L¹(G) in Banach spaces is completely reducible if and only if G is a compact group.

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