A quasi-local characterisation of Lp-Roe algebras
Li K, Wang Z, Zhang J (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 474
Pages Range: 1213-1237
Journal Issue: 2
DOI: 10.1016/j.jmaa.2019.02.013
Abstract
Very recently, Špakula and Tikuisis provide a new characterisation of (uniform) Roe algebras via quasi-locality when the underlying metric spaces have straight finite decomposition complexity. In this paper, we improve their method to deal with the L p -version of (uniform) Roe algebras for any p∈[1,∞). Due to the lack of reflexivity on L 1 -spaces, some extra work is required for the case of p=1.
Authors with CRIS profile
Involved external institutions
Jiaxing University / 嘉兴学院
China (CN)
University of Southampton
United Kingdom (GB)
Mathematical Institute of the Polish Academy of Sciences
Poland (PL)
China (CN)
University of Southampton
United Kingdom (GB)
Mathematical Institute of the Polish Academy of Sciences
Poland (PL)
How to cite
APA:
Li, K., Wang, Z., & Zhang, J. (2019). A quasi-local characterisation of Lp-Roe algebras. Journal of Mathematical Analysis and Applications, 474(2), 1213-1237. https://dx.doi.org/10.1016/j.jmaa.2019.02.013
MLA:
Li, Kang, Zhijie Wang, and Jiawen Zhang. "A quasi-local characterisation of Lp-Roe algebras." Journal of Mathematical Analysis and Applications 474.2 (2019): 1213-1237.
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