The K-theory of uniform Roe algebras for coarse structures generated by finite-rank free abelian subgroups

Charles Fanning, Mehmet Emin Aktas

For a uniformly locally finite coarse space $X$, the uniform Roe algebra $C_u^{\ast }(X)$ is the operator norm closure of the controlled operators on ${\ell }^2(X)$. The $K$-theory of unifo…