$K$-theory of affine toric varieties

Abstract

This is an updated and expanded version of my pre-print #68 in the $K$-theory server at Urbana (which was an abstract of my talk at Vechta conference on commutative algebra, 1994). In $\S2$ two conjectures on nilpontency of the `monoid Frobenius action' on the $K$-theory of toric cones and on stabilizations of the corresponding $K$-groups are stated. Both of these conjectures are higher analogues of Anderson's conjecture and their proof would bring a rather complete understanding of $K$-theory of toric varieties/semigroup rings.