Meta-centralizers of non locally compact group algebras

TL;DR

This paper investigates meta-centralizers in non-locally compact group algebras, establishing their representations via generalized measures and exploring their role in algebra isomorphisms.

Contribution

It introduces new theorems on the representation of meta-centralizers and examines their connection to isomorphisms of non-locally compact group algebras.

Findings

Meta-centralizers can be represented using families of generalized measures.

Theorems linking meta-centralizers to algebra isomorphisms are established.

Insights into the structure of non-locally compact group algebras are provided.

Abstract

Meta-centralizers of non-locally compact group algebras are studied. Theorems about their representations with the help of families of generalized measures are proved. Isomorphisms of group algebras are investigated in relation with meta-centralizers.