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SUMMARY:Operator algebras in rigid C*-tensor categories\, part II - David 
 Penneys (University of California\, Los Angeles)
DTSTART:20170127T160000Z
DTEND:20170127T170000Z
UID:TALK70348@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In this talk\, we will first define a (concrete) rigid C*-tens
 or category. We will&nbsp\;then highlight the main features that are impor
 tant to keep in mind when passing to the abstract setting. I will repeat a
  fair amount of material on &nbsp\;C*/W* algebra objects from Corey Jones&
 #39\; Monday talk. Today&#39\;s goal will be to prove the Gelfand-Naimark 
 theorem for C*-algebra objects in Vec(C). To do so\, we will have to under
 stand the analog of the W*-algebra B(H) as an&nbsp\;algebra object in Vec(
 C). In the remaining time\, we will elaborate on the motivation for the pr
 oject from the lens of enriched quantum symmetries. This talk is based on 
 joint work with Corey Jones (arXiv:1611.04620).<br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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