Maximal amenable von Neumann subalgebras arising from maximal amenable subgroups

By R. Boutonnet, A. Carderi. 2014

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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 Popa’s approach to maximal amenability via central sequences (Adv Math 50:27–48, 1983), and relies on elementary computations in a crossed-product C*-algebra.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/887c5cb030179fa14dd4589a412ee12c1d686ad2

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