Spectral gap characterization of full type III factors
نویسندگان
چکیده
منابع مشابه
On the Classification of Full Factors of Type Iii
We introduce a new invariant S (M) for type III factors M with no almost-periodic weights. We compute this invariant for certain free Araki-Woods factors. We show that Connes’ invariant τ cannot distinguish all isomorphism classes of free Araki-Woods factors. We show that there exists a continuum of mutually non-isomorphic free Araki-Woods factors, each without almostperiodic weights.
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2019
ISSN: 1435-5345,0075-4102
DOI: 10.1515/crelle-2016-0071