K-Theory of the maximal and reduced Roe algebras of metric spaces with A-by-CE coarse fibrations
K-Theory of the maximal and reduced Roe algebras of metric spaces with A-by-CE coarse fibrations
Let [Formula: see text] be a discrete metric space with bounded geometry. In this paper, we show that if [Formula: see text] admits an “A-by-CE” coarse fibration, then the canonical quotient map [Formula: see text] from the maximal Roe algebra to the Roe algebra of [Formula: see text], and the …