### The K-theory of toric varieties, by Willie Cortiñas, Christian Haesemeyer, Mark Walker, and Chuck Weibel

Recent advances in computational techniques for K-theory allow us to
describe the K-theory of toric varieties in terms of the K-theory of
fields and simple cohomological data. The cohomological data consists
of the cyclic homology and the cdh-cohomology of Kähler differentials.

As an application, we give a new proof of Gubeladze's Dilation Theorem,
which verifies his "nilpotence conjecture" for the action of dilations
on the K-theory of toric varieties.

Willie Cortiñas <gcorti@agt.uva.es>

Christian Haesemeyer <chh@math.uiuc.edu>

Mark Walker <mwalker5@math.unl.edu>

Chuck Weibel <weibel@math.rutgers.edu>