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SUMMARY:Kadison's problem for type III subfactors - Amine Marrakchi (ENS -
  Lyon)
DTSTART:20230629T101500Z
DTEND:20230629T111500Z
UID:TALK201991@talks.cam.ac.uk
DESCRIPTION:Kadison&rsquo\;s problem (1967) asked the following question "
 if N is a subfactor of the factor M for which N' \\cap M consists of scala
 rs\, will some maximal abelian *-subalgebra of N be a maximal abelian suba
 lgebra of M?". In 1981\, this problem has been solved affirmatively by Pop
 a 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 <1 or a type III1 factor that satisfies Conne
 s's bicentralizer conjecture.
LOCATION:Seminar Room 1\, Newton Institute
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