A new proof of extreme amenability of the unitary group of the\n hyperfinite II₁-factor

2015/07/01 by Philip A. Dowerk, Andreas Thom, Dowerk, Philip A. +1
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1507.00243

openalex publication_date 2015/07/01 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

We provide an alternative proof for the extreme amenability of the unitary\ngroup of the hyperfinite II₁-factor von Neumann algebra, endowed with the\nstrong operator topology.\n

Related

• Strong uncountable cofinality for unitary groups of von Neumann algebras
• Contractibility of the automorphism group of a von Neumann algebra
• The unitary group of a II₁ factor is SOT-contractible
• Maximal amenable MASAs of the free group factor of two generators arising from the free products of hyperfinite factors
• Maximal amenable subalgebras of von Neumann algebras associated with hyperbolic groups