Amenability of coarse spaces and K -algebras

Ara P, Lledo F, Wu J (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Bulletin of Mathematical Sciences World Scientific Publishing

Book Volume: 8

Pages Range: 257-306

Journal Issue: 2

DOI: 10.1007/s13373-017-0109-6

Abstract

In this article we analyze the notions of amenability and paradoxical decomposition from an algebraic perspective. We consider this dichotomy for locally finite extended metric spaces and for general algebras over fields. In the context of algebras we also study the relation of amenability with proper infiniteness. We apply our general analysis to two important classes of algebras: the unital Leavitt path algebras and the translation algebras on locally finite extended metric spaces. In particular, we show that the amenability of a metric space is equivalent to the algebraic amenability of the corresponding translation algebra.

Authors with CRIS profile

Kang Li

Involved external institutions

Westfälische Wilhelms-Universität (WWU) Münster DE Germany (DE) Pennsylvania State University (Penn State) US United States (USA) (US) Autonomous University of Barcelona (UAB) / Universitat Autònoma de Barcelona ES Spain (ES) Universidad Carlos III de Madrid (UC3M) ES Spain (ES)

How to cite

APA:

Ara, P., Lledo, F., & Wu, J. (2018). Amenability of coarse spaces and K -algebras. Bulletin of Mathematical Sciences, 8(2), 257-306. https://dx.doi.org/10.1007/s13373-017-0109-6

MLA:

Ara, Pere, Fernando Lledo, and Jianchao Wu. "Amenability of coarse spaces and K -algebras." Bulletin of Mathematical Sciences 8.2 (2018): 257-306.

BibTeX: Download