Central idempotent measures on connected locally compact groups

Frederick P. Greenleaf, Martin Moskowitz, Linda Preiss Rothschild

Research output: Contribution to journalArticlepeer-review

Abstract

A measure μ of finite total variation on a locally compact group G is idempotent if μ * μ = μ, and is central if invariant under all inner automorphisms of G. Recent results of D. Rider and D. Ragozin concerning compact groups are combined with results of the authors for noncompact groups to determine all central idempotent measures on a connected G in terms of the structural features of G.

Original languageEnglish (US)
Pages (from-to)22-32
Number of pages11
JournalJournal of Functional Analysis
Volume15
Issue number1
DOIs
StatePublished - Jan 1974

ASJC Scopus subject areas

  • Analysis

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