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SUMMARY:Classification of representations of the Richard Thompson groups a
 nd of the Cuntz algebra - Arnaud Brothier (University of New South Wales)
DTSTART:20230629T135000Z
DTEND:20230629T143000Z
UID:TALK202021@talks.cam.ac.uk
DESCRIPTION:Vaughan Jones technology permits to lift functors to group act
 ions of fraction groups. This provides new ways to build explicit unitary 
 representations of the Richard Thompson groups F\,T\,V. I will introduce t
 he so-called Pythagorean C*-algebra and explain how representation of it y
 ield representations of the three Thompson groups and additionally of the 
 Cuntz algebra. I will then explain how to reduce difficult problems concer
 ning irreducibility and unitarily conjugacy of those representations into 
 finite dimensional linear algebra and how beautiful moduli spaces naturall
 y emerge. This is a joint work with Dilshan Wijesena that continues a prev
 ious collaboration with Vaughan Jones.\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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