DILATIONS FOR C-DYNAMICAL SYSTEMS WITH ABELIAN GROUPS ON HILBERT C-MODULES

被引：0

作者：

Wang, Z. ^{[1
]}

Zhang, J. ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Dilation; covariant representation; C*-dynamical system; Hilbert C*-module; ISOMETRIC DILATIONS; NONCOMMUTING OPERATORS; TENSOR-ALGEBRAS; PRODUCT SYSTEMS; CORRESPONDENCES; REPRESENTATIONS; MODELS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate the dilations of completely positive definite representations of C*-dynamical systems with abelian groups on Hilbert C*-modules. We show that if (A, G, alpha) is a C*-dynamical system with G an abelian group, then every completely positive definite covariant representation (pi, phi, E) of (A, G, alpha) on a Hilbert C*-module E admits an unitary dilation ((pi) over cap, (phi) over cap, (E) over cap).

引用

页码：1313 / 1321

页数：9

共 20 条

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DILATIONS FOR C*-DYNAMICAL SYSTEMS WITH ABELIAN GROUPS ON HILBERT C*-MODULES

DILATIONS FOR C-DYNAMICAL SYSTEMS WITH ABELIAN GROUPS ON HILBERT C-MODULES