论文标题
有条件期望的强大莫里塔等效性
Strong Morita equivalence for conditional expectations
论文作者
论文摘要
我们认为$ c^*$ - 代数的两个夹杂物的小$ c^*$ - 代数为大$ c^*$ - 代数及其两个有限的双模数线性图的空间。我们认为$ c^*$ - 代数的两个夹杂物非常相同。在本文中，我们将表明存在从所有有界双模块线性图的空间之一到另一个空间的等法异构形态，我们将研究有关等法异态的基本特性。而且，使用此等法异构形态，我们为双模块线性图定义了PICARD组，并在PICARD组上讨论双模块线性图。
We consider two inclusions of $C^*$-algebras whose small $C^*$-algebras have approximate units of the large $C^*$-algebras and their two spaces of all bounded bimodule linear maps. We suppose that the two inclusions of $C^*$-algebras are strongly Morita equivalent. In this paper, we shall show that there exists an isometric isomorphism from one of the spaces of all bounded bimodule linear maps to the other space and we shall study on basic properties about the isometric isomorphism. And, using this isometric isomorphism, we define the Picard group for a bimodule linear map and discuss on the Picard group for a bimodule linear map.
