Crossed Products with Continuous Trace.

Intro -- 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 σ-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 σ-proper actions -- 6.2. Actions of R, Z and T -- 6.3. Examples and applications to certain group C*-algebras -- Some concluding remarks -- References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.