### Adams operations for projective modules over group rings, by Bernhard Koeck

Let R be a commutative ring, G a group acting on R, and k
a natural number which is invertible in R. Generalizing a definition
of Kervaire we construct a k-th Adams operation on the Grothendieck group
and on the higher K-theory of projective modules over the twisted
group ring R#G. For this we use generalizations of Atiyah's cyclic
power operations and shuffle products in higher K-theory. For the
Grothendieck group we show that k-th Adams operation is multiplicative and
that it commutes with base change, with the Cartan homomorphism, and
with the l-th Adams operation for any other l which is invertible in R.

Bernhard Koeck <bk@ma2s2.mathematik.uni-karlsruhe.de>