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SUMMARY:Ralf Meyer (Georg-August-Universität Göttingen)
DTSTART:20240529T190000Z
DTEND:20240529T200000Z
DTSTAMP:20260420T053231Z
UID:NYC-NCG/164
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/164/
 ">Classification of Purely Infinite Graph C*-Algebras</a>\nby Ralf Meyer (
 Georg-August-Universität Göttingen) as part of Noncommutative geometry i
 n NYC\n\n\nAbstract\nI will explain how purely infinite graph $C^*$-algebr
 as may be classified up to stable isomorphism using an invariant of K-theo
 retic nature.  This is contained in my recent preprint with Rasmus Bentman
 n.  The key idea is to classify $C^*$-correspondences from a graph $C^*$-a
 lgebra to another $C^*$-algebra up to homotopy\, using some projections an
 d unitaries in the target $C^*$-algebra.  Since we classify correspondence
 s up to homotopy\, we also classify general graph $C^*$-algebras up to hom
 otopy equivalence.  The relevant homotopies will automatically preserve ga
 uge-invariant ideals\, and we may improve this to also preserve the ideals
  that are not gauge invariant\, if these are present.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/164/
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