Mets552 发表于 2025-3-26 23:47:37

http://reply.papertrans.cn/16/1552/155162/155162_31.png

botany 发表于 2025-3-27 01:33:24

http://reply.papertrans.cn/16/1552/155162/155162_32.png

immunity 发表于 2025-3-27 07:10:05

Group C*-algebras and crossed products,The group C*-algebra and crossed product construction provide a plethora of interesting examples of C*-algebras. They provide links to harmonic analysis, topological dynamics, quantum groups, and beyond.

鞭打 发表于 2025-3-27 10:59:40

http://reply.papertrans.cn/16/1552/155162/155162_34.png

顽固 发表于 2025-3-27 13:38:28

Quasidiagonality and tracial approximation,This chapter is somewhat different from the previous three chapters. Instead of constructing C*-algebras which we then show are simple (or find conditions under which they are simple), here we start with a simple C*-algebra and show it has a particular structure.

Entrancing 发表于 2025-3-27 19:02:40

K-theory,It would be difficult to talk about the classification of C*-algebras without talking about K-theory. For the reader familiar with topological K-theory, K-theory for C*-algebras can be thought of its noncommutative version.

联想 发表于 2025-3-28 01:35:55

http://reply.papertrans.cn/16/1552/155162/155162_37.png

闲逛 发表于 2025-3-28 03:52:19

The Cuntz semigroup and strict comparison,We saw in Chapter 12 that via the K.-group of a C*-algebra we are able to determine important information by studying the structure of its projections. The more projections a C*-algebra has, the more information we can gain from its K-theory.

锉屑 发表于 2025-3-28 08:02:12

http://reply.papertrans.cn/16/1552/155162/155162_39.png

开始没有 发表于 2025-3-28 10:36:46

http://reply.papertrans.cn/16/1552/155162/155162_40.png
页: 1 2 3 [4] 5 6
查看完整版本: Titlebook: An Introduction to C*-Algebras and the Classification Program; Karen R. Strung,Francesc Perera Textbook 2021 The Editor(s) (if applicable)