Rigidity of ℓp Roe-type algebras

Chung YC, Li K (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Bulletin of the London Mathematical Society London Mathematical Society

Book Volume: 50

Pages Range: 1056-1070

Journal Issue: 6

DOI: 10.1112/blms.12201

Abstract

We investigate the rigidity of the (Formula presented.) analog of Roe-type algebras. In particular, we show that if (Formula presented.), then an isometric isomorphism between the (Formula presented.) 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 (Formula presented.) Roe-type algebras. In this paper, we do not assume that the metric spaces have Yu's property A or finite decomposition complexity.

Authors with CRIS profile

Kang Li

Involved external institutions

Polska Akademia Nauk (PAN) / Polish Academy of Sciences PL Poland (PL) Westfälische Wilhelms-Universität (WWU) Münster DE Germany (DE)

How to cite

APA:

Chung, Y.C., & Li, K. (2018). Rigidity of ℓp Roe-type algebras. Bulletin of the London Mathematical Society, 50(6), 1056-1070. https://dx.doi.org/10.1112/blms.12201

MLA:

Chung, Yeong Chyuan, and Kang Li. "Rigidity of ℓp Roe-type algebras." Bulletin of the London Mathematical Society 50.6 (2018): 1056-1070.

BibTeX: Download