On local automorphisms of group algebras of compact groups

1998/06/19 by Lajos Molnár, Lajos Molnar, Molnar, Lajos +2
Mathematics · #43A15 #43A22 #46H99 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:43A15 #msc:43A22 #msc:46H99

paper · pdf · doi:10.48550/arxiv.math/9806103

To appear in Proc. AMS

arxiv created 1998/06/19 · openalex publication_date 1998/06/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that with few exceptions every local isometric automorphism of the group algebra L^p(G) of a compact group G is an isometric automorphism.

Related

• Isometric Jordan isomorphisms of group algebras
• Locally compact groups with every isometric action bounded or proper
• Decompositions of the automorphism group of a locally compact abelian group
• Group Algebras for Groups which are not Locally Compact
• Local automorphisms of finite dimensional simple Lie algebras