On the relative bicentralizer flows and the relative flow of weights of inclusions of factors of type III${}_1$

Abstract

We show the relative bicentralizer flow and the relative flow of weights are isomorphic for an inclusion of injective factors of type III${}_1$ with finite index, or an irreducible discrete inclusion whose small algebra is an injective factor of type III${}_1$.

8 pages

References in corpus (1)

• Unique prime factorization and bicentralizer problem for a class of type III factors