A note on injective factors with trivial bicentralizer

2021/06/10 by Okayasu, Rui · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2106.05464

Abstract

We give an alternative proof that an injective factor on a Hilbert space with trivial bicentralizer is ITPFI. Our proof is given in parallel with each type of factors and it is based on the strategy of Haagerup. As a consequence, the uniqueness theorem of injective factors except type III₀ follows from Araki-Woods' result.

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• Selfless W^*-probability spaces and Connes' bicentralizer problem

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