Maximal amenable von Neumann subalgebras arising from maximal amenable subgroups

2014/11/15 by Boutonnet, Rémi, Carderi, Alessandro · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1411.4093

Abstract

We provide a general criterion to deduce maximal amenability of von Neumann subalgebras LΛ⊂ LΓ arising from amenable subgroups Λ of discrete countable groups Γ. The criterion is expressed in terms of Λ-invariant measures on some compact Γ-space. The strategy of proof is different from S. Popa's approach to maximal amenability via central sequences [Po83], and relies on elementary computations in a crossed-product C*-algebra.

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