Partial Dynamical Systems, Fell Bundles and Applications
By R. Exel. 2015
245 citations recorded by the source corpus.
This is a book about Partial Actions and Fell Bundles with applications to C*-algebras generated by partial isometries. Here is the table of contents: 1-Introduction, 2-Partial actions, 3-Restriction and globalization, 4-Inverse semigroups, 5-Topological partial dynamical systems, 6-Algebraic partial dynamical systems, 7-Multipliers, 8-Crossed products, 9-Partial group representations, 10-Partial group algebras, 11-C*-algebraic partial dynamical systems, 12-Partial isometries, 13-Covariant representations of C*-algebraic dynamical systems, 14-Partial representations subject to relations, 15-Hilbert modules and Morita-Rieffel-equivalence, 16-Fell bundles, 17-Reduced cross-sectional algebras, 18-Fell's absorption principle, 19-Graded C*-algebras, 20-Amenability for Fell bundles, 21-Functoriality for Fell bundles, 22-Functoriality for partial actions, 23-Ideals in graded algebras, 24-Pre-Fell-bundles, 25-Tensor products of Fell bundles, 26-Smash product, 27-Stable Fell bundles as partial crossed products, 28-Globalization in the C*-context, 29-Topologically free partial actions, 30-Dilating partial representations, 31-Semigroups of isometries, 32-Quasi-lattice ordered groups, 33-C*-algebras generated by semigroups of isometries, 34-Wiener-Hopf C*-algebras, 35-The Toeplitz C*-algebra of a graph, 36-Path spaces, 37-Graph C*-algebras, 38-References, 39-Subject Index.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/9c09f189972d5915b7ae6ff1c8cfee6234a35de7
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Citations in the corpus
- Recent developments around partial actions (2018, background): “One should also note that in the theory of C-algebras there is also the so-called reduced C-algebraic crossed product A⋊red τ G by a partial action (see [155] for details).”