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SUMMARY:Ulrich Pennig (Cardiff)
DTSTART:20200813T150000Z
DTEND:20200813T160000Z
DTSTAMP:20260423T022055Z
UID:UKVOAS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UKVOAS/12/">
 An Introduction to Dixmier-Douady theory</a>\nby Ulrich Pennig (Cardiff) a
 s part of UK Virtual operator algebras seminar\n\n\nAbstract\nA bundle of 
 C*-algebras is a collection of algebras continuously parametrised by a top
 ological space. There are (at least) two different definitions in operator
  algebras that make this intuition precise: Continuous C(X)-algebras provi
 de a flexible analytic point of view\, while locally trivial C*-algebra bu
 ndles allow a classification via homotopy theory. The section algebra of a
  bundle in the topological sense is a C(X)-algebra\, but the converse is n
 ot 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 compa
 cts  as a guideline. I will then explain joint work with Marius Dadarlat\,
  in which we showed that the theorems of Dixmier and Douady can be general
 ized to bundles with fibers isomorphic to stabilized strongly self-absorbi
 ng C*-algebras. An important feature of the theory is the appearance of hi
 gher analogues of the Dixmier-Douady class.\n\nAssumed Knowledge: basic fa
 miliarity with C*-algebras\, some background in topology\, in particular c
 ohomology\, might be useful\, but is not required\, similarly for strongly
  self-absorbing C*-algebras.\n
LOCATION:https://researchseminars.org/talk/UKVOAS/12/
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