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...

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Detalles Bibliográficos
Autores principales: Argerami, Martín, Farenick, Douglas, Massey, Pedro Gustavo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Ciencias Exactas
Matemática
Continuous Hilbert bundle
Continuous trace C*-algebra
Injective envelope
Local multiplier algebra
Weakly continuous Hilbert bundle
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85360
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
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.

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