BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Equivariant higher Dixmier-Douady theory for UHF-algebras - Valeri
 o Bianchi (Cardiff University)
DTSTART:20250703T143000Z
DTEND:20250703T145000Z
UID:TALK233206@talks.cam.ac.uk
DESCRIPTION:A classical result of Dixmier and Douady enables us to classif
 y locally trivial bundles of C*-algebras with compact operators as fibres 
 via methods in homotopy theory. Dadarlat and Pennig have shown that this g
 eneralises to the much larger family of bundles of stabilised strongly sel
 f-absorbing C*-algebras\, which are classified by the first group of the c
 ohomology theory associated to the units of complex topological K-theory. 
 Building on work of Evans and Pennig I consider Z/pZ-equivariant C*-algebr
 a bundles over Z/pZ-spaces. The fibres of these bundles are infinite tenso
 r products of the endomorphism algebra of a Z/pZ-representation. In joint 
 work with Pennig we show that the theory refines completely to this equiva
 riant setting. In particular\, we prove a full classification of the C*-al
 gebra bundles via equivariant stable homotopy theory.
LOCATION:External
END:VEVENT
END:VCALENDAR