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SUMMARY:KK-duality and quantum hyperbolicity - Sergey Neshveyev (Universit
 y of Oslo)
DTSTART:20241202T115000Z
DTEND:20241202T123000Z
UID:TALK218590@talks.cam.ac.uk
DESCRIPTION:KK-duality is a noncommutative analogue of the Spanier-Whitehe
 ad duality which relates the homology of a finite complex with the cohomol
 ogy of some dual finite complex. As was shown by Kaminker\, Putnam and Whi
 ttaker\, hyperbolic dynamical systems is a rich source of KK-dual algebras
 . In my talk I will discuss what can be thought of as a quantum analogue o
 f their construction\, a class of algebras that are quantum relatives of t
 he crossed products of free groups acting on their boundaries. Both the co
 nstruction of the dual classes and the proof of duality rely in a crucial 
 way on quantum symmetries of the algebras. (Joint work with Francesca Aric
 i and Dimitris Gerontogiannis.)
LOCATION:Seminar Room 1\, Newton Institute
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