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Partial Dynamical Systems, Fell Bundles and Applications
About this Title
Ruy Exel, Universidade Federal de Santa Catarina, Florianópolis-SC, Brazil
Publication: Mathematical Surveys and Monographs
Publication Year:
2017; Volume 224
ISBNs: 978-1-4704-3785-5 (print); 978-1-4704-4236-1 (online)
DOI: https://doi.org/10.1090/surv/224
MathSciNet review: MR3699795
MSC: Primary 46L55; Secondary 16S35, 16S40, 37A55, 46L45
ReadershipTable of Contents
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Front/Back Matter
Chapters
Partial actions
- Partial actions
- Restriction and globalization
- Inverse semigroups
- Topological partial dynamical sysytems
- Algebraic partial dynamical systems
- Multipliers
- Crossed products
- Partial group representations
- Partial group algebras
- C*-algebraic partial dynamical systems
- Partial isometries
- Covariant representations of C*-algebraic dynamical systems
- Partial representations subject to relations
- Hilbert modules and Morita-Rieffel-equivalence
Fell bundles
- Fell bundles
- Reduced cross-sectional algebras
- Fell’s absorption principle
- Graded C*-algebras
- Amenability for Fell bundles
- Functoriality for Fell bundles
- Functoriality for partial actions
- Ideals in graded algebras
- Pre-Fell-bundles
- Tensor products of Fell bundles
- Smash product
- Stable Fell bundles as partial crossed products
- Globalization in the C*-context
- Topologically free partial actions
Applications