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SUMMARY:Julian Kranz (University of Münster\, Germany)
DTSTART:20211011T140000Z
DTEND:20211011T150000Z
DTSTAMP:20260422T175521Z
UID:QGS/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/37/">Ame
 nability and weak containment for étale groupoids</a>\nby Julian Kranz (U
 niversity of Münster\, Germany) as part of Quantum Groups Seminar [QGS]\n
 \n\nAbstract\nA famous theorem of Hulanicki says that a locally compact gr
 oup is amenable if and only if its full and reduced C*-algebras coincide. 
 For groupoids\, the situation is more delicate: While amenability implies 
 equatility of the full and reduced C*-algebra\, the converse fails accordi
 ng to examples by Willett. The behavior of Willett's groupoids can be expl
 ained by their non-exactness. We show that if an étale groupoid satisfies
  a certain exactness condition\, then equality of its full and reduced C*-
 algebra is equivalent to amenability of the groupoid.\n
LOCATION:https://researchseminars.org/talk/QGS/37/
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