Pure Maths Colloquium - Rigidity of ℓp Roe-type algebras - Kang Li (Copenhagen) Seminar
- Time:
- 15:00 - 16:00
- Date:
- 23 March 2018
- Venue:
- Building 06 (Nuffield Theatre), room 1129 (L/R F). University of Southampton, Highfield Campus, SO17 1BJ
For more information regarding this seminar, please email Dr Jan Spakula at J.Spakula@southampton.ac.uk .
Event details
Abstract: We investigate the rigidity of the ℓp analog of Roe-type algebras. In particular, we show that if p∈[1,∞)∖{2}, then an isometric isomorphism between the ℓp uniform Roe algebras of two metric spaces with bounded geometry yields a bijective coarse equivalence between the underlying metric spaces, while a stable isometric isomorphism yields a coarse equivalence. We also obtain similar results for other ℓp-Roe-type algebras. In this paper, we do not assume that the metric spaces have Yu's property A or finite decomposition complexity.
Speaker information
Kang Li , University of Copenhagen. Kang Li is employed as a PhD student at the Department of Mathematical Sciences from 1st November, 2013. He is part of the Statistics and Probability Theory group, and affiliated to the DSIN project.