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Abstract Very recently, Spakula 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… Click to show full abstract
Abstract Very recently, Spakula 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 .
Keywords:
roe;
local characterisation;
roe algebras;
quasi local;
characterisation roe
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
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recommendations!