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

页码：833 / 882

页数：50

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