The K-theory of polynomial-like rings
The K-theory of polynomial-like rings
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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听decomposition.听Then we show that the K-theory of an affine toric variety over a field听(i.e., a polynomial-like ring) has a ray-like decomposition as a听module over the Witt vectors.听As usual, the cohomology proof in characteristic 0 is different from the TC proof in characteristic p.