Central idempotent measures on connected locally compact groups

Frederick P. Greenleaf, Martin Moskowitz, Linda Preiss Rothschild

Research output: Contribution to journalArticle

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 - 1974

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Locally Compact Group
Idempotent
Compact Group
Total Variation
Automorphisms
Invariant

ASJC Scopus subject areas

  • Analysis

Cite this

Central idempotent measures on connected locally compact groups. / Greenleaf, Frederick P.; Moskowitz, Martin; Rothschild, Linda Preiss.

In: Journal of Functional Analysis, Vol. 15, No. 1, 1974, p. 22-32.

Research output: Contribution to journalArticle

Greenleaf, Frederick P. ; Moskowitz, Martin ; Rothschild, Linda Preiss. / Central idempotent measures on connected locally compact groups. In: Journal of Functional Analysis. 1974 ; Vol. 15, No. 1. pp. 22-32.
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