Kac-系统与Morita等价

Kac-Systems and Morita Equivalence

本文讨论与Hilbert C*-模相关的Kac-系统在C*-代数上的作用的性质,给出了两个Morita等价的C*-代数(在Kac-系统的作用下得到的C*-代数的余交叉积是Morita等价的).从而,Baaj和Skandalis等人的结论是本文定理的特殊情况.

In this paper, we shall mainly discuss properties of actions of Kac-systems on C*-algebras corresponding to Hilbert C*-modules; and show that if one Kac-system coacts on two Morita equivalent C*-algebras, then the two co-crossed products are also Morita equivalent. Thus, Baaj and Skandalis' results are our special cases.