On C-algebras associated with C -correspondences

被引：160

作者：

Katsura, T ^{[1
]}

机构：

[1] Univ Tokyo, Dept Math Sci, Tokyo 1538914, Japan

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2004年 / 217卷 / 02期

基金：

日本学术振兴会;

关键词：

Hilbert modules; C* -correspondences; Cuntz-Pimsner algebras; gauge action; nuclear; exact; K-groups;

D O I：

10.1016/j.jfa.2004.03.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study C*-algebras arising from C*-correspondences, which were introduced by the author. We prove the gauge-invariant uniqueness theorem, and obtain conditions for our C*-algebras to be nuclear, exact, or satisfy the Universal Coefficient Theorem. We also obtain a 6-term exact sequence of K-groups involving the K-groups of our C*-algebras. (C) 2004 Elsevier Inc. All rights reserved.

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页码：366 / 401

页数：36

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