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DTSTART:20250309T070000
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DTSTART;TZID=America/Toronto:20250327T160000
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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-194
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:LARISSA KROELL\, UNIVERSITY OF WATERLOO\n\nAnalysis Seminar: In
 jective Envelopes for partial C*-dynamical systems\n\nGiven a C*-dynamical
  system\, a fruitful avenue to study its properties\nhas been to study the
  dynamics on its injective envelope. This\napproach relies on the result o
 f Kalantar and Kennedy (2017)\, who show\nthat C*-simplicity can be charac
 terized via the Furstenberg boundary\nusing injective envelope techniques.
  Inspired by this use case\, we\ngeneralize the notion of injective envelo
 pe to partial C*-dynamical\nsystems. Partial group actions are a generaliz
 ation of group actions\nand first introduced for C*-algebras by Ruy Exel (
 1994) to express\ncertain C*-algebras as crossed products by a single part
 ial\nautomorphism. In this talk\, we give a short introduction to partial\
 nactions and show the existence of an injective envelope for unital\nparti
 al C*-dynamical systems. Additionally\, we discuss its connection\nto enve
 loping actions. This is based on joint work with Matthew\nKennedy and Cami
 la Sehnem.\n\nMC 5417 
DTSTAMP:20260502T044527Z
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