Flows on C*-algebras

我研究了C^*-代数上的流动，它可能作为统计力学模型出现，并引入了准对角流动和MF流动等概念。它们推广了AF代数上的AF流，而AF代数是由矩阵代数上的流严格逼近的。此外，通过这种流动对交叉产物进行分类，我还研究了交叉产物的理想和痕迹结构。特别地，得到了在双流条件下原始理想是单调的一个表征。

I have investigated the flows on C^*-algebras which may appear as models in statistical mechanics and introduced notions such as quasi-diagonal flows and MF flows. Those generalize AF flows on AF algebras which are strictly approximated by flows on matrix algebras. Furthermore towards classification of crossed products by such flows I have worked on the ideal and trace structures of the crossed products. In particular, a characterization for the primitive ideals to be monotone under the dual flow is obtained.