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SUMMARY:Aaron Kettner (Mathematical Institute\, Charles University)
DTSTART:20260325T123000Z
DTEND:20260325T133000Z
DTSTAMP:20260415T045015Z
UID:PHK-cohomology-seminar/159
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHK-cohomolo
 gy-seminar/159/">$K$-theory for the $C^*$-algebra of a homeomorphism and a
  vector bundle</a>\nby Aaron Kettner (Mathematical Institute\, Charles Uni
 versity) as part of Prague-Hradec Kralove seminar Cohomology in algebra\, 
 geometry\, physics and statistics\n\nLecture held in blue lecture room + Z
 OOM meeting.\n\nAbstract\nWe outline how to construct a C*-algebra from a 
 homeomorphism on a compact Hausdorff space $X$\, together with a vector bu
 ndle over $X$. This generalizes crossed products of the form $C(X)\\rtimes
 _\\alpha\\mathbb{Z}$. Under reasonable assumptions these $C^*$-algebras tu
 rn out to be classifiable in the sense of the Elliott program. We sketch K
 -theory calculations which are work in progress with Karen Strung and Sven
  Raum.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/159/
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