论文标题
逆半群产生的操作员的三元环
Ternary rings of operators arising from inverse semigroups
论文作者
论文摘要
我们对属性（在类别理论的意义上）对属性感兴趣，是通过常规表示由反向半群的某些子集生成的操作员的三元环。我们确定在三乘积$ xy^*z $（称为semiheaps）下关闭的扩展双环半群的所有子集，并表明其生成的操作员（w*-tros）的弱关闭的三元环是注射操作员空间。
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 (W*-TROs) are injective operator spaces.
