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SUMMARY:Francesca Arici (Leiden University)
DTSTART:20201209T200000Z
DTEND:20201209T210000Z
DTSTAMP:20260420T052852Z
UID:NYC-NCG/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/37/"
 >SU(2)-symmetries\, exact sequences of C*-algebras and subproduct systems<
 /a>\nby Francesca Arici (Leiden University) as part of Noncommutative geom
 etry in NYC\n\n\nAbstract\nMotivated by the study of symmetries of C*-alge
 bras as well as by multivariate operator theory\, in this talk we will int
 roduce the notion of an SU(2)-equivariant subproduct system of Hilberts sp
 aces. Through an explicit construction in operator theory\, we will obtain
  Toeplitz and Cuntz-Pimsner algebras\, and  provide results about their to
 pological invariants. \n\nIn particular\, we will show that the Toeplitz a
 lgebra of the subproduct system of an irreducible SU(2) representation is 
 equivariantly KK-equivalent to the algebra of complex numbers\, so that th
 e (K)K-theory groups of the Cuntz-Pimsner algebra can be effectively compu
 ted using an exact sequence involving an analogue of the Euler class.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/37/
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