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SUMMARY:Andrei Alpeev (Ecole Normale Supérieure)
DTSTART:20250910T190000Z
DTEND:20250910T200000Z
DTSTAMP:20260420T052852Z
UID:NYC-NCG/193
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/193/
 ">C*-simplicity and the Poisson boundary</a>\nby Andrei Alpeev (Ecole Norm
 ale Supérieure) as part of Noncommutative geometry in NYC\n\n\nAbstract\n
 A connection between the Furstenberg boundary and $C^*$-simplicity of grou
 ps was a major breakthrough of the previous decade by Kalantar and Kennedy
 .\nThe furstenberg boundary is a topological object associated with a grou
 p. The Poisson boundary is a measurable object\, associated with a pair of
  a group and a probability measure on the group\, that describes the asymp
 totic behaviour of the random walk on the group.\nI will talk about a conn
 ection between $C^*$-simplicity and the Poisson boundary\, namely\, that a
  countable group is $C^*$-simple iff its natural action on the Poisson bou
 ndary is essentially free for a generic measure on the group.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/193/
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