CUNTZ-PIMSNER ALGEBRAS OF GROUP ACTIONS
We associate a *-bimodule over the group algebra to every self-similar group action on the space of one-sided sequences. Completions of the group algebra, which agree with the bimodule are investigated. This gives new examples of Hilbert bimodules and the associated Cuntz-Pimsner algebras. A direct...
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| Veröffentlicht in: | Journal of operator theory 2004-09, Vol.52 (2), p.223-249 |
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| container_title | Journal of operator theory |
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| creator | NEKRASHEVYCH, VOLODYMYR V. |
| description | We associate a *-bimodule over the group algebra to every self-similar group action on the space of one-sided sequences. Completions of the group algebra, which agree with the bimodule are investigated. This gives new examples of Hilbert bimodules and the associated Cuntz-Pimsner algebras. A direct proof of simplicity of these algebras is given. We show also a relation between the Cuntz algebras and the Higman-Thompson groups and define an analog of the Higman-Thompson group for the Cuntz-Pimsner algebra of a self-similar group action. |
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Completions of the group algebra, which agree with the bimodule are investigated. This gives new examples of Hilbert bimodules and the associated Cuntz-Pimsner algebras. A direct proof of simplicity of these algebras is given. 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| ispartof | Journal of operator theory, 2004-09, Vol.52 (2), p.223-249 |
| issn | 0379-4024 1841-7744 |
| language | eng |
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| source | Jstor Complete Legacy; EZB-FREE-00999 freely available EZB journals; JSTOR Mathematics & Statistics |
| subjects | Algebra Alphabets Homeomorphism Homomorphisms Labor union representation Mathematical theorems Mathematical vectors Mathematics Universal algebra Von Neumann algebra |
| title | CUNTZ-PIMSNER ALGEBRAS OF GROUP ACTIONS |
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