On the Relative Weak Asymptotic Homomorphism Property for Triples of Groups von Neumann Algebras

Mathematics – Operator Algebras

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One more condition added; it is expressed in terms of compact vectors

Scientific paper

We provide a direct and elementary proof of the equivalence between the weak
asymptotic homomorphism property for the pair of group von Neumann algebras
$L(H)\subset L(G)$ and the embedding into $H$ of the one sided quasi-normalizer
of the pair $Hrecent article, and we extend the result to triples of groups $H

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