Toeplitz algebras associated to endomorphisms of Ore semigroups

被引：2
|
作者：
Sundar, S. [1 ]
机构：
[1] Chennai Math Inst, H1 Sipcot IT Pk, Padur 603103, Tamil Nadu, India
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2016年 / 271卷 / 04期
关键词：
Toeplitz C*-algebras; Semigroups; Groupoid dynamical systems; C-ASTERISK-ALGEBRAS; WIENER-HOPF OPERATORS; CROSSED-PRODUCTS; STAR-ALGEBRAS; AUTOMORPHISMS; EQUIVALENCE; GROUPOIDS;
D O I：
10.1016/j.jfa.2016.05.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the Toeplitz algebra associated to actions of Ore semigroups on C*-algebras. In particular, we consider injective and surjective actions of such semigroups. We use the theory of groupoid dynamical systems to represent the Toeplitz algebra as a groupoid crossed product. We also discuss the K-theory of the Toeplitz algebra in some examples. For instance, we show that for the semigroup of positive matrices, the K-theory of the associated Toeplitz algebra vanishes. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：833 / 882
页数：50
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