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SUMMARY:Gabriel Favre (University of Stockholm)
DTSTART:20210315T150000Z
DTEND:20210315T160000Z
DTSTAMP:20260423T035930Z
UID:GOBA/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GOBA/23/">An
  Algebraic Characterization of the Type I Property for Ample Groupoids</a>
 \nby Gabriel Favre (University of Stockholm) as part of Groups\, Operators
 \, and Banach Algebras Webinar\n\n\nAbstract\nI will discuss the type I pr
 operty for second countable locally compact Hausdorff ample groupoids. Loo
 sely speaking\, the type I property says that the von Neumann algebras gen
 erated by unitary representations are the simplest possible kind of von Ne
 umann algebras to understand.\nAfter developing a feel for this property\,
  the discussion will shift towards the noncommutative Stone duality betwee
 n ample groupoids and Boolean inverse semigroups. This duality is used in 
 a new characterization of the type I property for groupoids\, that we obta
 ined. This characterization will appear as the semigroup counterpart to a 
 result of van Wyk. If time permits\, I will apply our result to algebraica
 lly characterize discrete inverse semigroups of type I.\nThis is joint wor
 k with S. Raum.\n
LOCATION:https://researchseminars.org/talk/GOBA/23/
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