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 |
| _version_ | 1797825605412061184 |
|---|---|
| author | Bhishan Jacelon |
| author_facet | Bhishan Jacelon |
| author_sort | Bhishan Jacelon |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-13T10:56:25Z |
| format | Article |
| id | doaj.art-8a94ec90c4dd4d1a87373ba49b5e64f8 |
| institution | Directory Open Access Journal |
| issn | 2050-5094 |
| language | English |
| last_indexed | 2024-03-13T10:56:25Z |
| publishDate | 2023-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj.art-8a94ec90c4dd4d1a87373ba49b5e64f82023-05-17T04:31:05ZengCambridge University PressForum of Mathematics, Sigma2050-50942023-01-011110.1017/fms.2023.38Chaotic tracial dynamicsBhishan Jacelon0https://orcid.org/0000-0001-5959-5780Institute of Mathematics of the Czech Academy of Sciences, Žitná 25, 115 67 Prague 1, Czech Republic; E-mail: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.https://www.cambridge.org/core/product/identifier/S2050509423000385/type/journal_article46L3546L8537E0537A2537A55 |
| spellingShingle | Bhishan Jacelon Chaotic tracial dynamics Forum of Mathematics, Sigma 46L35 46L85 37E05 37A25 37A55 |
| title | Chaotic tracial dynamics |
| title_full | Chaotic tracial dynamics |
| title_fullStr | Chaotic tracial dynamics |
| title_full_unstemmed | Chaotic tracial dynamics |
| title_short | Chaotic tracial dynamics |
| title_sort | chaotic tracial dynamics |
| topic | 46L35 46L85 37E05 37A25 37A55 |
| url | https://www.cambridge.org/core/product/identifier/S2050509423000385/type/journal_article |
| work_keys_str_mv | AT bhishanjacelon chaotictracialdynamics |