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SUMMARY:Free entropy dimension and the orthogonal free quantum groups - Ro
 land Vergnioux (Université de Caen Basse-Normandie)
DTSTART:20170504T130000Z
DTEND:20170504T140000Z
UID:TALK72286@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Orthogonal free quantum groups have been extensively studied i
 n the past two decades from the operator algebraic point of view\, and wer
 e shown to share many analytical properties with the ordinary free groups.
  In a recent preprint with Michael Brannan\, we prove that the associated 
 von Neumann algebras are strongly 1-bounded in the sense of Jung. In parti
 cular\, they are not isomorphic to free group factors. This result is obta
 ined by establishing a spectral regularity result for the edge reversing o
 perator on the associated quantum Cayley tree\,&nbsp\;and combining this r
 esult with a recent free entropy dimension rank theorem of Jung and Shlyak
 htenko.<br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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