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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Equivariant higher twisted K-theory - Ulrich Penni
g (Cardiff University)
DTSTART;TZID=Europe/London:20170330T113000
DTEND;TZID=Europe/London:20170330T123000
UID:TALK71713AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/71713
DESCRIPTION:Twisted K-Theory can be expressed in terms of sect
ion algebras of locally trivial bundles of compact
operators. However\, from the point of view of ho
motopy theory\, this setup just captures a small p
ortion of the possible twists. In joint work with
Marius Dadarlat we generalised the classical theor
y to a C*-algebraic model\, which captures the hig
her twists of K-theory as well and is based on str
ongly self-absorbing C*-algebras. In this talk I w
ill discuss possible generalisations to the equiva
riant case\, which is joint work with David Evans.
In particular\, I will first review the construct
ion of the equivariant twist of U(n) representing
the generator of its equivariant third cohomology
group with respect to the conjugation action of U(
n) on itself. Then I will talk about work in progr
ess on a generalisation to (localised) higher twis
ted K-theory. \;

- A Dixmier-Douady t
heory for strongly self-absorbing C*-algebras
\;arXiv:1302.4468
<
li>Unit spectra of K-theory from strongly self-abs
orbing C*-algebras arXiv:130
6.2583

LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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