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SUMMARY:Diego Martínez (University of Madrid)
DTSTART:20211006T190000Z
DTEND:20211006T200000Z
DTSTAMP:20260420T052741Z
UID:NYC-NCG/71
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/71/"
 >C* and geometric properties of inverse semigroups</a>\nby Diego Martínez
  (University of Madrid) as part of Noncommutative geometry in NYC\n\n\nAbs
 tract\nInverse semigroups are a generalization of groups\, where elements 
 in an inverse semigroup can be thought of as partial symmetries of a space
  (instead of global symmetries\, as in the group case). Out of these one c
 an construct a uniform Roe algebra algebra just as in the group case\, and
  study its properties. In this talk\, we shall characterize when such C*-a
 lgebra is nuclear by means of an intrinsic metric in the semigroup\, and p
 rove that its nuclearity  is equivalent to the semigroup having property A
 . Moreover\, one can also study amenability notions in this case\, and rel
 ate the trace space of the uniform Roe algebra with certain invariant meas
 ures in the semigroup. This talk is based on joint work with Pere Ara and 
 Fernando Lledó.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/71/
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