Injective Envelopes and Local Multiplier Algebras of Some Spatial Continuous Trace C∗-algebras

A precise description of the injective envelope of a spatial continuous trace C*-algebra A over a Stonean space Δ is given. The description is based on the notion of a weakly continuous Hilbert bundle, which we show herein to be a Kaplansky–Hilbert module over the abelian AW*-algebra C(Δ). We then u...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Argerami, Martín, Farenick, Douglas, Massey, Pedro Gustavo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2012
Materias:
Matemática
Cellular algebra
Discrete mathematics
Division algebra
Algebra representation
Divisible group
Universal enveloping algebra
Pure mathematics
Multiplier algebra
Mathematics
Subalgebra
Injective module
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126139
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126139
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Cellular algebra
Discrete mathematics
Division algebra
Algebra representation
Divisible group
Universal enveloping algebra
Pure mathematics
Multiplier algebra
Mathematics
Subalgebra
Injective module
spellingShingle Matemática
Cellular algebra
Discrete mathematics
Division algebra
Algebra representation
Divisible group
Universal enveloping algebra
Pure mathematics
Multiplier algebra
Mathematics
Subalgebra
Injective module
Argerami, Martín
Farenick, Douglas
Massey, Pedro Gustavo
Injective Envelopes and Local Multiplier Algebras of Some Spatial Continuous Trace C∗-algebras
topic_facet Matemática
Cellular algebra
Discrete mathematics
Division algebra
Algebra representation
Divisible group
Universal enveloping algebra
Pure mathematics
Multiplier algebra
Mathematics
Subalgebra
Injective module
description A precise description of the injective envelope of a spatial continuous trace C*-algebra A over a Stonean space Δ is given. The description is based on the notion of a weakly continuous Hilbert bundle, which we show herein to be a Kaplansky–Hilbert module over the abelian AW*-algebra C(Δ). We then use the description of the injective envelope of A to study the first- and second-order local multiplier algebras of A. In particular, we show that the second-order local multiplier algebra of A is precisely the injective envelope of A.
format Articulo
Preprint
author Argerami, Martín
Farenick, Douglas
Massey, Pedro Gustavo
author_facet Argerami, Martín
Farenick, Douglas
Massey, Pedro Gustavo
author_sort Argerami, Martín
title Injective Envelopes and Local Multiplier Algebras of Some Spatial Continuous Trace C∗-algebras
title_short Injective Envelopes and Local Multiplier Algebras of Some Spatial Continuous Trace C∗-algebras
title_full Injective Envelopes and Local Multiplier Algebras of Some Spatial Continuous Trace C∗-algebras
title_fullStr Injective Envelopes and Local Multiplier Algebras of Some Spatial Continuous Trace C∗-algebras
title_full_unstemmed Injective Envelopes and Local Multiplier Algebras of Some Spatial Continuous Trace C∗-algebras
title_sort injective envelopes and local multiplier algebras of some spatial continuous trace c∗-algebras
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/126139
work_keys_str_mv AT argeramimartin injectiveenvelopesandlocalmultiplieralgebrasofsomespatialcontinuoustracecalgebras
AT farenickdouglas injectiveenvelopesandlocalmultiplieralgebrasofsomespatialcontinuoustracecalgebras
AT masseypedrogustavo injectiveenvelopesandlocalmultiplieralgebrasofsomespatialcontinuoustracecalgebras
bdutipo_str Repositorios
_version_ 1764820450133671937

Ejemplares similares