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SUMMARY:Enrique Pardo Espino (Universidad de Cádiz)
DTSTART:20251029T190000Z
DTEND:20251029T200000Z
DTSTAMP:20260420T052915Z
UID:NYC-NCG/209
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/209/
 ">Categorical models for ample groupoids and their algebras</a>\nby Enriqu
 e Pardo Espino (Universidad de Cádiz) as part of Noncommutative geometry 
 in NYC\n\n\nAbstract\nA decade ago\, Spielberg described a new method for 
 defining $C^*$-algebras from oriented combinatorial data\, generalizing th
 e construction of algebras from directed graphs\, higher-rank graphs\, and
  (quasi-)ordered groups. To do so\, he introduced left cancellative small 
 categories\, and endowed any such category with a $C^*$-algebra encoding c
 ategorical information\; he showed that this algebra is the groupoid algeb
 ra of a (sort of) Deaconu-Renault étale groupoid. \n\n"In this talk\, we 
 explain the relevance of these algebras. Furthermore\, we show that they a
 re Exel's groupoid $C^*$-algebras associated to a suitable inverse semigro
 up $\\mathcal{S}_\\Lambda$\; this would allow us characterize their proper
 ties\, like being Hausdorff\, effective and minimal\, and thus simplicity 
 for these algebras. We the study groupoid actions on left cancellative sma
 ll categories and their associated Zappa-Szép products\, by reducing them
  to Spielberg's model.\n\nThe contents of this talk are joint work with Ed
 uard Ortega (NTNU Trondheim\, Norway)."\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/209/
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