The K-theory of polynomial-like rings

Charles Weibel, Rutgers University

Online Talk

We first prove that the K-theory of a polynomial ring R[x,y,...,z] has a previously unknown ray-like decomposition. Then we show that the K-theory of an affine toric variety over a field (i.e., a polynomial-like ring) has a ray-like decomposition as a module over the Witt vectors. As usual, the cohomology proof in characteristic 0 is different from the TC proof in characteristic p.