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Strong solidity of free Araki-Woods factors (1512.04820v2)
Published 15 Dec 2015 in math.OA
Abstract: We show that Shlyakhtenko's free Araki-Woods factors are strongly solid, meaning that for any diffuse amenable von Neumann subalgebra that is the range of a normal conditional expectation, the normalizer remains amenable. This provides the first class of nonamenable strongly solid type III factors.