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: | 9781470443771 |
| Publication date: | 30th November -0001 |
| Author: | Palma, Rui |
| Publisher: | American Mathematical Society |
| Format: | Ebook |
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.
Crossed Products by Hecke Pairs is available in Paperback, Ebook
Crossed Products by Hecke Pairs was written by Palma, Rui and published by American Mathematical Society
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