On decomposition theory for unitary representations of locally compact groups

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Abstract

The main purpose of this note is to give a simple example of a unitary representation of a (discrete) group, which cannot be decomposed as a topological direct integral of factor representations. But it is shown that the regular representation of any discrete group is a direct integral (on a compact space) of factor representations.

Original languageEnglish
Pages (from-to)101-114
Number of pages14
JournalJournal of Functional Analysis
Volume31
Issue number1
DOIs
StatePublished - Jan 1979

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