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SUMMARY:Sven Raum: "Right-angled Hecke operator algebras"
DTSTART;VALUE=DATE-TIME:20210324T130000Z
DTEND;VALUE=DATE-TIME:20210324T140000Z
DTSTAMP;VALUE=DATE-TIME:20210508T092827Z
UID:indico-event-6585@indico.math.cnrs.fr
DESCRIPTION:\n With every Coxeter system one can associate a family of alg
ebras considered as deformation of its group algebra. These so-called He
cke algebras\, are classical objects of study in combinatorics and represe
ntation theory. Complex Hecke algebras admit a natural *-structure and a n
atural *-representation on a Hilbert space. Taking the norm- and SOT-clo
sure in such representation\, one obtains Hecke operator algebras\, which
have recently seen increased attention.\n\nIn this talk\, I will motivate
and introduce Hecke operator algebras\, focusing on the case of right-angl
ed Coxeter systems. This case is is particularly interesting from an ope
rator algebraic perspective\, thanks to its description by iterated amalga
mated free products. I will survey known results on the structure of Hecke
operator algebras\, before I describe recent joint work with Adam Skalski
on the factor decomposition of right-angled Hecke von Neumann algebras as
well as the K-theory of right-angled Hecke C*-algebras. If time permits\,
I will describe some applications to representation theory. \n\n\nhttps:/
/indico.math.cnrs.fr/event/6585/
LOCATION:UMPA 435
URL:https://indico.math.cnrs.fr/event/6585/
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