Theory of Operator Algebras II
Operator algebras are a central field in modern mathematics, with profound connections to various mathematical disciplines and theoretical physics. In this semester, we will continuously introduce Takesaki's book ``Theory of Operator Algebras I, II, III" following the contents in last semester.
讲师
日期
2026年03月11日 至 06月03日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周三 | 13:30 - 15:05 | A7-302 | ZOOM A | 388 528 9728 | BIMSA |
| 周五 | 09:50 - 11:25 | A7-302 | ZOOM A | 388 528 9728 | BIMSA |
修课要求
Functional Analysis
课程大纲
1. A brief review on Banach Algebras, C*-Algebras and von Neumann Algebras
2. Tensor Products of Operator Algebras and Direct Integrals
3. Types of von Neumann Algebras and Traces
4. Left Hilbert Algebras
5. Weights
6. Modular Automorphism Groups
7. Non-Commutative Integration
8. Crossed Products and Duality
9. Abelian Automorphism Groups
10. Structure of a von Neumann Algebra of Type III
2. Tensor Products of Operator Algebras and Direct Integrals
3. Types of von Neumann Algebras and Traces
4. Left Hilbert Algebras
5. Weights
6. Modular Automorphism Groups
7. Non-Commutative Integration
8. Crossed Products and Duality
9. Abelian Automorphism Groups
10. Structure of a von Neumann Algebra of Type III
参考资料
[1] M. Takesaki, Theory of Operator Algebras I, II, III
听众
Advanced Undergraduate
, Graduate
, 博士后
视频公开
不公开
笔记公开
不公开
语言
中文