On products in algebraic K-theory, by Dominique Arlettaz, Grzegorz Banaszak, and Wojciech Gajda

This paper investigates the product structure in algebraic K-theory. The first objective is to understand the relationships between products and the kernel of the Hurewicz homomorphism relating the algebraic K-theory of any ring to the integral homology of its linear groups. The second part of the paper is devoted to the ring of integers Z. Using recent results of V. Voevodsky and the 2-adic cyclotomic elements, we determine completely the products in K_*(Z) tensored with the ring of 2-adic integers.


Dominique Arlettaz <dominique.arlettaz@ima.unil.ch>
Grzegorz Banaszak <BANASZAK@math.amu.edu.pl>
Wojciech Gajda <GAJDA@math.amu.edu.pl>