Abstract

In this paper, we answer the Dixmier's question for type II 1-factors with property T in the negative, that is, if G is a discrete i.c.c group with property T of Kazhdan, L(G) is not isomorphic to [Formula: see text] for any factor [Formula: see text] of type II 1. To prove this, we study outer automorphism groups on a free product of two finite von Neumann algebras with respect to tracial states.

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