Second-order local multiplier algebras of continuous trace C*-algebras
We determine the injective envelope and local multiplier algebra of a continuous trace C*-algebra A that arises from a continuous Hilbert bundle over an arbitrary locally compact Hausdor space. In addition, we show that the second-order local multiplier algebra M_loc^[2](A) of any such algebra A is...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/3363 |
| Acesso em linha: | http://hdl.handle.net/11336/3363 |
| Access Level: | acceso abierto |
| Palavra-chave: | Injective envelope local multiplier algebras continuous Hilbert bundles Fell's algebras https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | We determine the injective envelope and local multiplier algebra of a continuous trace C*-algebra A that arises from a continuous Hilbert bundle over an arbitrary locally compact Hausdor space. In addition, we show that the second-order local multiplier algebra M_loc^[2](A) of any such algebra A is injective. |
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