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@article{faucris.265406872,
abstract = {We show that for two countable locally finite groups Γ and Λ, the associated uniform Roe algebras Cu*(Γ) and Cu* (Λ) are *-isomorphic if and only if their K0 groups are isomorphic as ordered abelian groups with units. Along the way we obtain a rigidity result: two countable locally finite groups are bijectively coarsely equivalent if and only if the associated uniform Roe algebras are *-isomorphic. We also show that a (not necessarily countable) discrete group Γ is locally finite if and only if the associated uniform Roe algebra ℓ^{∞}(Γ) ⋊r Γ is locally finite-dimensional.},
author = {Li, Kang and Liao, Hung-Chang},
doi = {10.7900/jot.2017may23.2163},
faupublication = {no},
journal = {Journal of Operator Theory},
keywords = {Classification of C*-algebras; Coarse geometry; Uniform Roe algebras},
note = {CRIS-Team Scopus Importer:2021-10-25},
pages = {25-46},
peerreviewed = {Yes},
title = {{Classification} of uniform {Roe} algebras of locally finite groups},
volume = {80},
year = {2018}
}