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SUMMARY:Tim de Laat (University of Münster)
DTSTART:20210927T080000Z
DTEND:20210927T090000Z
DTSTAMP:20260423T021451Z
UID:SiN/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SiN/31/">Gel
 fand pairs\, spherical functions and exotic group C*-algebras</a>\nby Tim 
 de Laat (University of Münster) as part of Symmetry in Newcastle\n\n\nAbs
 tract\nFor a non-amenable group $G$\, there can be many group C*-algebras 
 that lie naturally between the universal and the reduced C*-algebra of $G$
 . These are called exotic group C*-algebras. After a short introduction\, 
 I will explain that if $G$ is a simple Lie group or an appropriate locally
  compact group acting on a tree\, the $L^p$-integrability properties of di
 fferent spherical functions on $G$ (relative to a maximal compact subgroup
 ) can be used to distinguish between exotic group C*-algebras. This recove
 rs results of Samei and Wiersma. Additionally\, I will explain that under 
 certain natural assumptions\, the aforementioned exotic group C*-algebras 
 are the only ones coming from $G$-invariant ideals in the Fourier-Stieltje
 s algebra of $G$.\n\nThis is based on joint work with Dennis Heinig and Ti
 mo Siebenand.\n
LOCATION:https://researchseminars.org/talk/SiN/31/
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