Quasi hyperrigidity and weak peak points for non-commutative operator systems

被引：8

作者：

Namboodiri, M. N. N. ^{[1
]}

Pramod, S. ^{[2
]}

Shankar, P. ^{[3
]}

Vijayarajan, A. K. ^{[3
]}

机构：

[1] Cochin Univ Sci & Technol, Dept Math, Kochi 682022, Kerala, India

[2] Govt Kerala, Dept Agr, Thiruvananthapuram, Kerala, India

[3] Kerala Sch Math, Kozhikode 673571, India

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2018年 / 128卷 / 05期

关键词：

Weak peak point; quasi hyperrigid set; weak boundary representation; boundary representation; BOUNDARY REPRESENTATIONS; GEOMETRIC-THEORY; SETS;

D O I：

10.1007/s12044-018-0430-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we introduce the notions of weak boundary representation, quasi hyperrigidity and weak peak points in the non-commutative setting for operator systems in C *-algebras. An analogue of Saskin's theorem relating quasi hyperrigidity and weak Choquet boundary for particular classes of C *-algebras is proved. We also show that, if an irreducible representation is a weak boundary representation and weak peak then it is a boundary representation. Several examples are provided to illustrate these notions.

引用

页数：14

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