$C^∗$-envelopes of tensor algebras for multivariable dynamics
| hal.structure.identifier | Department of Pure Mathematics [Waterloo] | |
| dc.contributor.author | DAVIDSON, Kenneth R. | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ROYDOR, Jean | |
| dc.date.accessioned | 2024-04-04T03:22:13Z | |
| dc.date.available | 2024-04-04T03:22:13Z | |
| dc.date.created | 2008 | |
| dc.date.issued | 2010 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194734 | |
| dc.description.abstractEn | We give a new very concrete description of the $C^∗$- envelope of the tensor algebra associated to multivariable dynamical system. In the surjective case, this C*-envelope is described as a crossed product by an endomorphism, and as a groupoid $C^∗$-algebra. In the non-surjective case, it is a full corner of a such an algebra. We also show that when the space is compact, then the $C^∗$-envelope is simple if and only if the system is minimal. | |
| dc.language.iso | en | |
| dc.title.en | $C^∗$-envelopes of tensor algebras for multivariable dynamics | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Proc. Edinb. Math. Soc | |
| bordeaux.page | Proc. Edinb. Math. Soc. (2) 53 (2010), no. 2, 333-351. | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01016322 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01016322v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Proc.%20Edinb.%20Math.%20Soc&rft.date=2010&rft.spage=Proc.%20Edinb.%20Math.%20Soc.%20(2)%2053%20(2010),%20no.%202,%20333-351.&rft.epage=Proc.%20Edinb.%20Math.%20Soc.%20(2)%2053%20(2010),%20no.%202,%20333-351.&rft.au=DAVIDSON,%20Kenneth%20R.&ROYDOR,%20Jean&rft.genre=article |
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