A Markovian and Roe-algebraic approach to asymptotic expansion in measure

Li K, Vigolo F, Zhang J (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Banach Journal of Mathematical Analysis Springer International Publishing

Book Volume: 17

Article Number: 74

Journal Issue: 4

DOI: 10.1007/s43037-023-00297-8

Abstract

In this paper, we conduct further studies on geometric and analytic properties of asymptotic expansion in measure. More precisely, we develop a machinery of Markov expansion and obtain an associated structure theorem for asymptotically expanding actions. Based on this, we establish an analytic characterisation for asymptotic expansion in terms of the Druţu–Nowak projection and the Roe algebra of the associated warped cones. As an application, we provide new counterexamples to the coarse Baum–Connes conjecture.

Authors with CRIS profile

Kang Li Juniorprofessur für Mathematik (Darstellungstheorie und Operatoralgebren)

Involved external institutions

Fudan University / 复旦大学 CN China (CN) Georg-August-Universität Göttingen DE Germany (DE)

How to cite

APA:

Li, K., Vigolo, F., & Zhang, J. (2023). A Markovian and Roe-algebraic approach to asymptotic expansion in measure. Banach Journal of Mathematical Analysis, 17(4). https://dx.doi.org/10.1007/s43037-023-00297-8

MLA:

Li, Kang, Federico Vigolo, and Jiawen Zhang. "A Markovian and Roe-algebraic approach to asymptotic expansion in measure." Banach Journal of Mathematical Analysis 17.4 (2023).

BibTeX: Download