IceCube-Gen2: the window to the extreme Universe
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Sensitivity of the Cherenkov Telescope Array to a dark matter signal from the Galactic centre
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Thu, 13 Aug 2020

16:45 - 17:30
Virtual

TBA

Amine Marrakchi
(ENS Lyon)
Further Information

Part of UK virtual operator algebras seminar

Thu, 13 Aug 2020

16:00 - 16:45
Virtual

An Introduction to Dixmier-Douady theory

Ulrich Pennig
(University of Cardiff)
Further Information

Part of UK virtual operator algebra seminar

Abstract

A bundle of C*-algebras is a collection of algebras continuously parametrised by a topological space. There are (at least) two different definitions in operator algebras that make this intuition precise: Continuous C(X)-algebras provide a flexible analytic point of view, while locally trivial C*-algebra bundles 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 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 joint work with Marius Dadarlat, in which we showed that the theorems of Dixmier and Douady can be generalized to bundles with fibers isomorphic to stabilized strongly self-absorbing C*-algebras. An important feature of the theory is the appearance of higher analogues of the Dixmier-Douady class.

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