A bound for the torsion in the KK-theory of algebraic integers

  • Christophe Soulé

Abstract

Let mm be an integer bigger than one, AA a ring of algebraic integers, FF its fraction field, and Km(A)K_m (A) the mm-th Quillen KK-group of AA. We give a (huge) explicit bound for the order of the torsion subgroup of Km(A)K_m (A) (up to small primes), in terms of mm, the degree of FF over Q\Bbb Q, and its absolute discriminant.