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Crossed products of operator algebras /

The authors study crossed products of arbitrary operator algebras by locally compact groups of completely isometric automorphisms. They develop an abstract theory that allows for generalizations of many of the fundamental results from the selfadjoint theory to our context. They complement their gene...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Katsoulis, Elias G., 1963- (Autor), Ramsey, Christopher, 1985- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, 2019.
Colección:Memoirs of the American Mathematical Society ; no. 1240.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; Title page; Chapter 1. Introduction; Chapter 2. Preliminaries; 2.1. Generalities; 2.2. \ca-correspondences and tensor algebras; 2.3. Crossed products of \ca-algebras; Chapter 3. Definitions and Fundamental Results; Chapter 4. Maximal C*-covers, Iterated Crossed Products and Takai Duality; Chapter 5. Crossed Products and the Dirichlet Property; Chapter 6. Crossed Products and Semisimplicity; 6.1. Crossed products by discrete abelian groups; 6.2. Crossed products by compact abelian groups; 6.3. More examples of crossed product Dirichlet algebras
  • 6.4. Semicrossed products and semisimplicityChapter 7. The Crossed Product as the Tensor Algebra of a C*-correspondence.; 7.1. Discrete groups; 7.2. The general case of a locally compact group.; 7.3. Hilbert \ca-bimodules; Chapter 8. Concluding Remarks and Open Problems; Bibliography; Back Cover