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Absence of Cartan subalgebras in continuous cores of free product von Neumann algebras

Published 25 Jan 2014 in math.OA | (1401.6489v2)

Abstract: We show that the continuous core of any type III free product factor has no Cartan subalgebra. This is a complement to previous works due to Houdayer--Ricard and Boutonnet--Houdayer--Raum.

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