Geodesic
Chaotic tracial dynamics
Forum of Mathematics, Sigma, Tome 11 (2023)

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The action on the trace space induced by a generic automorphism of a suitable finite classifiable ${\mathrm {C}^*}$-algebra is shown to be chaotic and weakly mixing. Model ${\mathrm {C}^*}$-algebras are constructed to observe the central limit theorem and other statistical features of strongly chaotic tracial actions. Genericity of finite Rokhlin dimension is used to describe $KK$-contractible stably projectionless ${\mathrm {C}^*}$-algebras as crossed products. 
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     author = {Bhishan Jacelon},
     title = {Chaotic tracial dynamics},
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Bhishan Jacelon. Chaotic tracial dynamics. Forum of Mathematics, Sigma, Tome 11 (2023). doi: 10.1017/fms.2023.38

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