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SUMMARY:Ulrich Pennig (Cardiff University)
DTSTART:20220216T200000Z
DTEND:20220216T210000Z
DTSTAMP:20260420T052909Z
UID:NYC-NCG/86
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/86/"
 >Bundles of C*-algebras - An Introduction to Dixmier-Douady theory</a>\nby
  Ulrich Pennig (Cardiff University) as part of Noncommutative geometry in 
 NYC\n\n\nAbstract\nA bundle of C*-algebras is a collection of algebras con
 tinuously parametrised by a topological space. There are (at least) two di
 fferent definitions in operator algebras that make this intuition precise:
  Continuous C(X)-algebras provide a flexible analytic point of view\, whil
 e locally trivial C*-algebra bundles allow a classification via homotopy t
 heory. The section algebra of a bundle in the topological sense is a C(X)-
 algebra\, but the converse is not true. In this talk I will compare these 
 two notions using the classical work of Dixmier and Douady on bundles with
  fibres isomorphic to the compacts as a guideline. I will then explain joi
 nt work with Marius Dadarlat\, in which we showed that the theorems of Dix
 mier and Douady can be generalized to bundles with fibers isomorphic to st
 abilized strongly self-absorbing C*-algebras. An important feature of the 
 theory is the appearance of higher analogues of the Dixmier-Douady class.\
 n
LOCATION:https://researchseminars.org/talk/NYC-NCG/86/
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