Chaotic tracial dynamics
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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2023-01-01
|
| Series: | Forum of Mathematics, Sigma |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423000385/type/journal_article |
| Summary: | 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. |
|---|---|
| ISSN: | 2050-5094 |