Crossed products with continuous trace / / Siegfried Echterhoff

• Record Nr.: UNINA9910788750503321
• Autore: Echterhoff Siegfried <1960->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 1996; ©1996
• ISBN: 1-4704-0171-1
• Descrizione fisica: 1 online resource (149 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 123, Number 586
• Disciplina: 512/.55
• Soggetti: C*-algebras; Locally compact groups; Representations of groups; Crossed products
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "September 1996, Volume 123, Number 586 (first of 4 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Preliminaries and basic definitions""; ""1.1. Twisted covariant systems and crossed products""; ""1.2. Representation and ideal spaces of C*-algebras""; ""1.3. Morita equivalence and imprimitivity bimodules""; ""1.4. Induced representations and the Mackey-Green machine""; ""Chapter 2. Morita equivalent twisted actions and duality""; ""2.1. Morita equivalent twisted actions""; ""2.2. Morita equivalence and duality for abelian twisted systems""; ""Chapter 3. Representations of type I abelian twisted systems""; ""3.1. Maximally pointwise unitary subgroups""""3.2. Abelian twisted systems with type I crossed products""; ""3.3. Maximally pointwise unitary subgroups for dual systems""; ""Chapter 4. Subgroup crossed products""; ""4.1. Subgroup algebras and regularizations""; ""4.2. Open regularizations and subgroup actions""; ""4.3. Decomposition of crossed products by subgroup algebras""; ""4.4. Subgroup crossed products and duality""; ""Chapter 5. Crossed products with continuous trace""; ""5.1. Subgroup crossed products and Ï?-proper G-spaces""; ""5.2. Pointwise unitary subgroup actions""; ""5.3. Systems with continuous choices of maximally pointwise unitary ; subgroups""""5.4. Continuous trace for systems with Hausdorff quasi-orbit space""; ""5.5. Systems with continuously varying stabilizers""; ""Chapter 6. Applications and Examples""; ""6.1. Crossed products by Ï?-proper actions""; ""6.2. Actions of R, Z and T""; ""6.3. Examples and applications to certain group C*-algebras""; ""Some concluding remarks""; ""References""