Negative $K$-theory and Chow group of monoid algebras

Amalendu Krishna, Husney Parvez Sarwar

We show, for a finitely generated partially cancellative torsion-free commutative monoid $M$, that $K_i(R)\cong K_i(R[M])$ whenever $i\le -d$ and $R$ is a quasi-excellent $\Q$-al…