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Kadison's problem for type III subfactors

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OASW05 - OAS Follow on: Operator Algebras: Subfactors and Applications

Kadison’s problem (1967) asked the following question “if N is a subfactor of the factor M for which N’ \cap M consists of scalars, will some maximal abelian *-subalgebra of N be a maximal abelian subalgebra of M?”. In 1981, this problem has been solved affirmatively by Popa when N is of type II and sits with expectation inside M. In this talk, we present a solution to Kadison’s question when N is a type III _\lambda factor with 0 \leq \lambda

This talk is part of the Isaac Newton Institute Seminar Series series.

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