An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups
Using ultrapowers of C-algebras, we provide a new construction of the multiplier algebra of a C-algebra. This extends the work of Avsec and Goldbring [Houston J. Math., to appear, arXiv:1610.09276] to the setting ofnoncommutative and nonseparable C-algebras. We also extend their work to give a new p...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/106621 |
| Acceso en línea: | http://hdl.handle.net/11336/106621 |
| Access Level: | acceso abierto |
| Palabra clave: | MULTIPLIER ALGEBRA ULTRAPRODUCT OF C* ALGEBRAS BOUNDARY AMENABLE GROUP https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Using ultrapowers of C-algebras, we provide a new construction of the multiplier algebra of a C-algebra. This extends the work of Avsec and Goldbring [Houston J. Math., to appear, arXiv:1610.09276] to the setting ofnoncommutative and nonseparable C-algebras. We also extend their work to give a new proof of the fact that groups acting transitively on locally finite trees with boundary amenable stabilizers are boundary amenable. |
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