Stable K-Theory of Finite Fields

Betley, Stanislaw

Instytut Matematyki, University of Warsaw, ul.Banacha 2, 02-097 Warsaw, Poland; e-mail: [email protected]

K-Theory 17(2):p 103-111, June 1999.

It was conjectured in J.Pure Appl.Algebra96 (1994), pp.709–720, that stable K-theory of a ring R with finite degree bifunctor coefficients is equal to topological Hochschild homology of R with the same coefficients. The conjecture was proven by Dundas and McCarthy in thecase of bilinear bifunctors. We give a proof of the conjecture in full generality when R equals a finite field.