paper

Ideal structures and rigidity of uniform Roe algebras

arXiv:1509.06564

Abstract

In this paper, we study the rigidity of uniform Roe algebras via the ideal structures. We showed that for given metric spaces X and Y with bounded geometry, if their uniform Roe algebras are isomorphic, then they are coarse equivalent.

arXiv commentThis paper has been withdrawn by the author due to a crucial error in section 4