Crossed products by Hecke pairs
著者
書誌事項
Crossed products by Hecke pairs
（Memoirs of the American Mathematical Society, no. 1204）
American Mathematical Society, c2018
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注記
Includes bibliographical references and indexes
"March 2018, volume 252, number 1204 (fifth of 6 numbers)"
内容説明・目次
内容説明
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.
目次
Introduction
Preliminaries
Orbit space groupoids and Fell bundles
$^*$-Algebraic crossed product by a Hecke pair
Direct limits of sectional algebras
Reduced $C^*$-crossed products
Other completions
Stone-von Neumann Theorem for Hecke pairs
Towards Katayama duality
Bibliography
Symbol index
Word index
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