Ternary rings of operators arising from inverse semigroups

被引：0

作者：

Pluta, Robert ^{[1
]}

Russo, Bernard ^{[2
]}

机构：

[1] Coll Holy Cross, Dept Math, Worcester, MA 01610 USA

[2] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

SEMIGROUP FORUM | 2022年 / 105卷 / 03期

关键词：

Ternary ring of operators; Inverse semigroup; Bicyclic semigroup; Semiheap; Injective operator space; SUBSEMIGROUPS;

D O I：

10.1007/s00233-022-10318-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are interested in properties, especially injectivity (in the sense of category theory), of the ternary rings of operators generated by certain subsets of an inverse semigroup via the regular representation. We determine all subsets of the extended bicyclic semigroup which are closed under the triple product xy*z (called semiheaps) and show that the weakly closed ternary rings of operators generated by them are injective operator spaces.

引用

页码：756 / 798

页数：43

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