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$K$-theory of affine toric varieties

Joseph Gubeladze

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.

Homology, Homotopy and Applications, Vol. 1, 1999, No. 5, pp 135-145
http://www.rmi.acnet.ge/hha/volumes/1999/n5/n5.dvi
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