Factor systems as a computational framework for noncommutative principal bundles - with an application to Atiyah’s famous Lie algebra sequence

Stefan Wagner (Blekinge Institute of Technology)

25-Aug-2021, 19:00-20:00 (3 years ago)

Abstract: Free C*-dynamical systems, in the sense of Ellwood, provide a natural framework for noncommutative principal bundles, which are becoming increasingly prevalent in various applications to noncommutative geometry and mathematical physics. One of the key features of free C*-dynamical systems are their associated factor systems, which make them accessible to classification, K-theoretic considerations, and computations in general. In this talk we present the recent theory of factor systems for free C*-dynamical systems and apply it to give a derivation-based Atiyah sequence for noncommutative principal bundles.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( paper | slides | video )


Noncommutative Geometry in NYC

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