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 <i>A</i> that arises from a continuous Hilbert bundle over an arbitrary locally compact Hausdorff space. In addition, we show that the second-order local multiplier algebra M<SUP>[2]&l...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | Argentina |
| Institución: | Universidad Nacional de La Plata |
| Repositorio: | SEDICI (UNLP) |
| Idioma: | inglés |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/85360 |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/85360 |
| Access Level: | acceso abierto |
| Palabra clave: | Ciencias Exactas Matemática Continuous Hilbert bundle Continuous trace C*-algebra Injective envelope Local multiplier algebra Weakly continuous Hilbert bundle |
| Sumario: | We determine the injective envelope and local multiplier algebra of a continuous trace C*-algebra <i>A</i> that arises from a continuous Hilbert bundle over an arbitrary locally compact Hausdorff space. In addition, we show that the second-order local multiplier algebra M<SUP>[2]</SUP><SUB>loc</SUB>(<i>A</i>) of any such algebra <i>A</i> is injective. |
|---|