A semigroup crossed product arising in number theory

被引：38

作者：

Laca, M ^{[1
]}

Raeburn, I ^{[1
]}

机构：

[1] Univ Newcastle, Dept Math, Newcastle, NSW 2308, Australia

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1999年 / 59卷

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1112/S0024610798006620

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently Bost and Connes have studied an interesting C*-algebraic Hecke algebra arising in number theory. Here it is shown that this algebra can be realised as a semigroup crossed product, and be profitably studied using methods developed by the authors for analysing Toeplitz algebras. One main result is a characterisation of faithful representations of the Hecke algebra.

引用

页码：330 / 344

页数：15

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