Holger Reich

"On the Isomorphism Conjecture in algebraic K-Theory"

Abstract: The Isomorphism Conjecture is a conceptional approach towards a calculation of the algebraic K-Theory groups of a group ring RG, where G is an infinite group. I will explain the Conjecture and report on joint work with Arthur Bartels, Tom Farrell and Lowell Jones in which we prove certain cases of the conjecture without any assumption on the coefficient ring R.