Uniformly bounded representations of discrete measured groupoid into finite Von Neumann algebras

2025/12/24 by Alessio Savini, Savini, Alessio
Mathematics · #Abelian von Neumann algebra #Advanced Banach Space Theory #Advanced Operator Algebra Research #Bounded function #Ergodic theory #FOS: Mathematics #Invertible matrix #Operator Algebras (math.OA) #Random Matrices and Applications #Representation (politics) #Separable space #Unitary state #Von Neumann algebra #Von Neumann architecture

paper · open access · doi:10.48550/arxiv.2512.21442

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2025/12/24 · openalex created_date 2025/12/30 · openalex updated_date 2026/07/28

Abstract

Let (G,ν) be a t-discrete ergodic groupoid. Consider a finite Von Neumann algebra M with separable predual. We prove that every uniformly bounded measurable representation ρ:G → GL(M) into the invertible elements of M is similar to a unitary representation.

Citations

• Cohomology of property T groupoids and applications

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