Crossed products by Hecke pairs /

The author develops a theory of crossed products by actions of Hecke pairs (G, \Gamma), motivated by applications in non-abelian C^*-duality. His approach gives back the usual crossed product construction whenever G / \Gamma is a group and retains many of the aspects of crossed products by groups. T...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Palma, Rui, 1985- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, [2018]
Colección:Memoirs of the American Mathematical Society ; no. 1204.
Temas:
Crossed products.
Hecke algebras.
Group algebras.
Non-Abelian groups.
C*-algebras.
Produits croisés.
Algèbres de Hecke.
Algèbres de groupes.
Groupes non abéliens.
C*-algèbres.
Grupos lineales algebraicos
C*-algebras
Crossed products
Group algebras
Hecke algebras
Non-Abelian groups
Acceso en línea:Texto completo
Descripción
Sumario:The author develops a theory of crossed products by actions of Hecke pairs (G, \Gamma), motivated by applications in non-abelian C^*-duality. His approach gives back the usual crossed product construction whenever G / \Gamma is a group and retains many of the aspects of crossed products by groups. The author starts by laying the ^*-algebraic foundations of these crossed products by Hecke pairs and exploring their representation theory and then proceeds to study their different C^*-completions. He establishes that his construction coincides with that of Laca, Larsen and Neshveyev whenever the.
Notas:"March 2018, volume 252, number 1204 (fifth of 6 numbers)."
Keywords: Crossed product, Hecke pair, Hecke algebra, C8-dynamical system, Fell bundle, covariant representation.
Descripción Física:1 online resource (vii, 141 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 137-138) and index.
ISBN:9781470443771
1470443775
ISSN:0065-9266 ;

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