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math.FA2026
On some -approximation properties of exact discrete groups and uniform Roe algebras
Yeong Chyuan Chung
We study -approximation properties of uniform Roe algebras and their connections to coarse geometry and group theory. For a discrete metric space with bounded geome…
math.FA2026
Ideal structure of uniform Roe algebras
Yeong Chyuan Chung, Xinhui Du
For a uniformly locally finite coarse space , we prove that for every , the lattice of geometric ideals in the uniform Roe algebr…
math.FA2019★ 3 cited
Structure and -theory of uniform Roe algebras
Yeong Chyuan Chung, Kang Li
In this paper, we characterize when the uniform Roe algebra of a metric space with bounded geometry is (stably) finite and when it is properly infinite in standard form fo…