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SUMMARY:Almost elementary groupoids and their C*-algebras - Xin  Ma (Harbi
 n Institute of Technology)
DTSTART:20250716T092500Z
DTEND:20250716T094500Z
UID:TALK233083@talks.cam.ac.uk
DESCRIPTION:In this talk\, I will present some results on almost elementar
 iness\, which was introduced as a new finite approximation property for lo
 cally compact Hausdorff \\'{e}tale groupoids and implies the (tracial) Z-s
 tability for groupoid C*-algebras. I will demonstrate that for a large cla
 ss C of Elliott invariants and for any unital C*-algebra A whose Elliott i
 nvariant Ell(A) in C\, the C*-algebra A is classifiable if and only if A h
 as an almost elementary groupoid model. As an application\, every strongly
  self-absorbing C*-algebra satisfying the UCT has an almost elementary gro
 upoid model. This is based on a joint work with Jianchao Wu.
LOCATION:External
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