Dynamics of compact quantum metric spaces

Jens Kaad*, David Kyed*

*Kontaktforfatter for dette arbejde

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We provide a detailed study of actions of the integers on compact quantum metric spaces, which includes general criteria ensuring that the associated crossed product algebra is again a compact quantum metric space in a natural way. Moreover, we provide a flexible set of assumptions ensuring that a continuous family of-Automorphisms of a compact quantum metric space yields a field of crossed product algebras which varies continuously in Rieffel's quantum Gromov-Hausdorff distance. Finally, we show how our results apply to continuous families of Lip-isometric actions on compact quantum metric spaces and to families of diffeomorphisms of compact Riemannian manifolds which vary continuously in the Whitney-Topology.

TidsskriftErgodic Theory and Dynamical Systems
Udgave nummer7
Sider (fra-til)2069-2109
StatusUdgivet - jul. 2021


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