论文标题
希尔伯特空间上代数和操作员空间的莫里塔（Morita）表征
A Morita characterisation for algebras and spaces of operators on Hilbert spaces
论文作者
论文摘要
我们介绍了$δ$和$σ\，δ-$对操作员代数的概念，并通过其在这些代数上的左操作员模块的类别来表征$δ-$对。此外，我们介绍了$δ$ -Morita等效操作员空间的概念，并证明了有关其代数扩展的类似定理。我们证明$σδ$ -morita等效的操作员空间稳定同构，反之亦然。最后，我们研究了Unital运算符空间，强调其左（右）乘数代数，并证明定理指的是$δ$ -Morita的代数扩展。
We introduce the notion of $Δ$ and $σ\,Δ-$ pairs for operator algebras and characterise $Δ-$ pairs through their categories of left operator modules over these algebras. Furthermore, we introduce the notion of $Δ$-Morita equivalent operator spaces and prove a similar theorem about their algebraic extensions. We prove that $σΔ$-Morita equivalent operator spaces are stably isomorphic and vice versa. Finally, we study unital operator spaces, emphasising their left (resp. right) multiplier algebras, and prove theorems that refer to $Δ$-Morita equivalence of their algebraic extensions.
