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SUMMARY:Semi-Cartan subalgebras and twisted groupoid C*-algebras - Lisa Or
 loff  Clark (Victoria University of Wellington)
DTSTART:20250717T101500Z
DTEND:20250717T105500Z
UID:TALK233104@talks.cam.ac.uk
DESCRIPTION:We introduce the notion of semi-Cartan C*-subalgebras\, which 
 are commutative subalgebras that\, unlike Cartan subalgebras\, are not req
 uired to be maximal abelian. Despite this relaxation\, they retain enough 
 structure to fully characterize a broad class of C*-algebras arising from 
 groupoids. Specifically\, we show that a C*-algebra contains a semi-Cartan
  subalgebra if and only if it is isomorphic to a twisted &eacute\;tale gro
 upoid C*-algebra\, possibly nonreduced and associated to a noneffective gr
 oupoid. This generalizes the Kumjian&ndash\;Renault framework.This is join
 t work with Tristan Bice\, Ying-Fen Lin\, and Kathryn McCormick.
LOCATION:External
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