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SUMMARY:A classification of real-line group actions with faithful Connes--
 Takesaki modules on hyperfinite factors - Koichi Shimada (Kyoto University
 )
DTSTART:20170124T160000Z
DTEND:20170124T170000Z
UID:TALK70235@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span> &nbsp\;&nbsp\;We classify certain real-line-group actio
 ns on (type III) hyperfinite factoers\, up to cocycle conjugacy. More prec
 isely\, we&nbsp\;show that an&nbsp\;invariant called the Connes--Takesaki 
 module completely distinguishs actions which are not approximately inner a
 t any non-trivial point. Our classification result is related to&nbsp\;the
  uniqueness of the hyperfinite type III_1 factor\, shown by Haagerup\, whi
 ch is equivalent to the uniquness of real-line-group actions with a certai
 n condition on the hyperfinite type II_{\\infty} factor. We classify actio
 ns on hyperfinite type III factors with an analogous condition. The proof 
 is based on Masuda--Tomatsu&#39\;s recent work on real-line-group actions 
 and the uniqueness of the hyperfinite type III_1 factor.<br>&nbsp\;</span>
LOCATION:Seminar Room 1\, Newton Institute
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