Arxiv
| Presentation Name： | 午间学术报告会（一百三十八）：Quasi-local algebras and asymptotic expanders |
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| Presenter： | 章嘉雯 |
| Date： | 2021-05-21 |
| Location： | 光华东主楼2201 |
| Abstract： | Roe algebras are C*-algebras associated to metric spaces, which encode their large scale structures. These algebras play a key role in higher index theory, providing a bridge between geometry, topology and analysis. We study a quasi-local perspective on Roe algebras, which leads to a larger index algebra called the quasi-local algebra. Based on the idea of quasi-locality, we introduce a graphic notion called asymptotic expanders which generalise the classic one of expanders. Using a structure theorem, we show that asymptotic expanders cannot be coarsely embedded into any Hilbert space and hence construct new counterexamples to the coarse Baum-Connes conjecture. This is a joint project with Ana Khukhro, Kang Li, Piotr Nowak, Jan Spakula and Federico Vigolo. |
| Annual Speech Directory： | No.131 |
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