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 they are both definable and, as an application of his theory, he proves a Stone-von Neumann theorem for Hecke pairs which encompasses the work of an Huef, Kaliszewski and Raeburn.
| ISBN: | 9781470428099 |
| Publication date: | 30th April 2018 |
| Author: | Rui Palma |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 141 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Algebra Algebraic geometry Calculus and mathematical analysis |
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.
Crossed Products by Hecke Pairs features in the following genres: Algebra, Algebraic geometry, Calculus and mathematical analysis
Paperback, Ebook. Not Available.
Crossed Products by Hecke Pairs was written by Rui Palma and published by American Mathematical Society
Crossed Products by Hecke Pairs has 141 pages
Yes it is part of Memoirs of the American Mathematical Society series