$C^*$-rigidity of dynamical systems and \'etale groupoids

Toke Meier Carlsen

$C^*$-rigidity of dynamical systems and \'etale groupoids

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arxiv 1803.05326 v1 pith:ZKLRSKM2 submitted 2018-03-13 math.OA math.DSmath.FA

Toke Meier Carlsen This is my paper · ORCID

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keywords rigiditydynamicaletalegroupoidsnotessystemsalgebrasassociated

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abstract

This is some lecture notes I wrote for the masterclass \emph{Rigidity of $C^*$-algebras associated to dynamics} held at the University of Copenhagen October 16-20, 2017. The notes is attempt to give an introduction to how \'etale groupoids can be used to obtain $C^*$-rigidity result for topological dynamical systems.

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Subshift semigroups
math.OA 2019-08 accept novelty 7.0 of 10

For every subshift, the Matsumoto and Carlsen-Matsumoto C*-algebras are realized as groupoid C*-algebras from the inverse hull of the language semigroup, and this universal groupoid is amenable.

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