论文标题
W*划痕模块的莫里塔等效性
Morita equivalence of w*-rigged modules
论文作者
论文摘要
Blecher和Kashyap引入了$ W^{\ star} $ - 双操作员代数上的索具模块，作为$ W^{\ star} $模块的概括。在本文中，我们介绍了两种新类型的莫里塔等效性，而在$ w^{\ star} $ - 在Unital双重操作员代数上进行了操纵模块，我们检查了这些概念是否暗示相应模块之间的同构稳定。此外，我们对它们详细研究了$ w^{\ star} $ - 嵌套代数上的索具模块的类别，该模块的特征是G.K.eleftherakis。
The $w^{\star}$-rigged modules over dual operator algebras were introduced by Blecher and Kashyap as a generalization of $W^{\star}$-modules. In this paper, we introduce two new types of Morita equivalence between right $w^{\star}$-rigged modules over unital dual operator algebras and we examine whether these notions imply stable isomorphism between the corresponding modules. Furthermore we investigate them in detail for the class of right $w^{\star}$-rigged modules over nest algebras, that was characterised by G.K.Eleftherakis.
