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Property Γ and inner amenability

1975/02/01 by Edward G. Effros · 2 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Holomorphic and Operator Theory

paper · pdf · doi:10.1090/s0002-9939-1975-0355626-6

openalex publication_date 1975/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/27

Abstract

If the regular group von Neumann algebra of a countable, infinite conjugacy class group satisfies Property <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal upper Gamma"> <mml:semantics> <mml:mi mathvariant="normal"> Γ </mml:mi> <mml:annotation encoding="application/x-tex">Γ</mml:annotation> </mml:semantics> </mml:math> </inline-formula> , then the group has a nontrivial mean which is invariant under inner automorphisms.

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