26 citations · 36 across the 12 of their papers we have counts for
5 papers · 1 filter
A note on the quasi-local algebra of expander graphs
Bruno M. Braga, Ján Špakula, Alessandro Vignati
We show that the quasi-local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to . N. Ozawa has recently shown tha…
Measured asymptotic expanders and rigidity for Roe algebras
Kang Li, Ján Špakula, Jiawen Zhang
Our main result about rigidity of Roe algebras is the following: if and are metric spaces with bounded geometry such that their Roe algebras are -isomorphic, then an…
Relative commutant pictures of Roe algebras
Jan Spakula, Aaron Tikuisis
Let X be a proper metric space, which has finite asymptotic dimension in the sense of Gromov (or more generally, straight finite decomposition complexity of Dranishnikov and Zarich…
On Rigidity of Roe algebras
Jan Spakula, Rufus Willett
Roe algebras are C*-algebras built using large-scale (or 'coarse') aspects of a metric space (X,d). In the special case that X=G is a finitely generated group and d is a word metri…
Non-K-exact uniform Roe C*-algebras
Jan Spakula
We prove that uniform Roe C*-algebras associated to some expander graphs coming from discrete groups with property (τ) are not K-exact. In particular, we show that this is the case…