Singular subgroups in A₂-groups and their von Neumann algebras

2018/11/07 by Yongle Jiang, Jiang, Yongle, Piotr W. Nowak +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Functional Analysis (math.FA) #Group Theory (math.GR) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1811.03117

openalex publication_date 2018/11/07 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We show that certain amenable subgroups inside A₂-groups are singular in the sense of Boutonnet and Carderi. This gives a new family of examples of singular group von Neumann subalgebras. We also give a geometric proof that if G is an acylindrically hyperbolic group, H is an infinite amenable subgroup containing a loxodromic element, then H

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