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SUMMARY:Siegfried Echterhoff (WWU Münster\, Germany)
DTSTART:20231204T150000Z
DTEND:20231204T160000Z
DTSTAMP:20260422T180050Z
UID:QGS/103
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/103/">Pr
 oper actions\, fixed-point algebras\, and deformation via coactions</a>\nb
 y Siegfried Echterhoff (WWU Münster\, Germany) as part of Quantum Groups 
 Seminar [QGS]\n\n\nAbstract\nThe notion of proper actions of groups on spa
 ces has various generalizations for group actions of noncommutative $C^*$-
 algebras $A$\, which all allow the construction of generalized fixed-point
  algebras $A^G$ which are Morita equivalent to ideals in the reduced cross
 ed products $A\\rtimes_rG$. The weakest version was introduced by  Rieffel
  in 1990 and it  played an important role in his theory of deformations vi
 a actions of $\\mathbb R^d$. In this talk we want to report on some joint 
 work with Alcides Buss on a version of proper actions which allows the con
 struction of maximal (or exotic) generalized fixed-point algebras which ar
 e Morita equivalent to ideals in the maximal (resp. exotic) crossed produc
 ts. We will report on several applications including Landstad duality for 
 coactions and deformation of C*-algebras via coactions in the sense of Kas
 przak and Bowmick\, Neshveyev\, and Sangha.\n
LOCATION:https://researchseminars.org/talk/QGS/103/
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