The hyperrigidity of tensor algebras of C*-correspondences

被引：3

作者：

Katsoulis, Elias G. ^{[1
]}

Ramsey, Christopher ^{[2
]}

机构：

[1] East Carolina Univ, Dept Math, Greenville, NC 27858 USA

[2] MacEwan Univ, Dept Math & Stat, Edmonton, AB, Canada

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 483卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

C*-correspondence; Tensor algebra; Hyperrigid; Topological graph; Operator algebra; OPERATOR-ALGEBRAS; DILATIONS; PRODUCTS; PROPERTY;

D O I：

10.1016/j.jmaa.2019.123611

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a C*-correspondence X, we give necessary and sufficient conditions for the tensor algebra T-X(+) to be hyperrigid. In the case where X is coming from a topological graph we obtain a complete characterization. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：10

共 17 条

[1] [Anonymous], 2008, GRADUATE STUDIES MAT
[2] The noncommutative Choquet boundary II: Hyperrigidity
Arveson, William
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2011, 184 (01) : 349 - 385
[3] Operator Algebras for Multivariable Dynamics
Davidson, Kenneth R.
Katsoulis, Elias G.
[J]. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 209 (982) : 1 - +
[4] Full Cuntz-Krieger dilations via non-commutative boundaries
Dor-On, Adam
Salomon, Guy
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2018, 98 : 416 - 438
[5] Certain free products of graph operator algebras
Duncan, Benton L.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 364 (02) : 534 - 543
[6] The Dirichlet property for tensor algebras
Kakariadis, Evgenios T. A.
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2013, 45 : 1119 - 1130
[7] Katsoulis E., 2019, INT MATH RES NOT IMR
[8] Tensor algebras of C*-correspondences and their C*-envelopes
Katsoulis, EG
Kribs, DW
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 234 (01) : 226 - 233
[9] Crossed Products of Operator Algebras
Katsoulis, Elias G.
Ramsey, Christopher
[J]. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 258 (1240) : 1 - +
[10] Crossed products of operator algebras: Applications of Takai duality
Katsoulis, Elias G.
Ramsey, Christopher
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 275 (05) : 1173 - 1207

← 1 2 →