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SUMMARY:Equivariant higher twisted K-theory - Ulrich Pennig (Cardiff Unive
 rsity)
DTSTART:20170330T103000Z
DTEND:20170330T113000Z
UID:TALK71713@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Twisted K-Theory can be expressed in terms of section algebras
  of locally trivial bundles of compact operators. However\, from the point
  of view of homotopy theory\, this setup just captures a small portion of 
 the possible twists. In joint work with Marius Dadarlat we generalised the
  classical theory to a C*-algebraic model\, which captures the higher twis
 ts of K-theory as well and is based on strongly self-absorbing C*-algebras
 . In this talk I will discuss possible generalisations to the equivariant 
 case\, which is joint work with David Evans. In particular\, I will first 
 review the construction of the equivariant twist of U(n) representing the 
 generator of its equivariant third cohomology group with respect to the co
 njugation action of U(n) on itself. Then I will talk about work in progres
 s on a generalisation to (localised) higher twisted K-theory.&nbsp\;<br><u
 l><li>A Dixmier-Douady theory for strongly self-absorbing C*-algebras&nbsp
 \;<a target="_blank" rel="nofollow" href="https://arxiv.org/abs/1302.4468"
 >arXiv:1302.4468</a></li><li>Unit spectra of K-theory from strongly self-a
 bsorbing C*-algebras <a target="_blank" rel="nofollow" href="http://arxiv.
 org/abs/1306.2583">arXiv:1306.2583</a></li></ul><br>
LOCATION:Seminar Room 1\, Newton Institute
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