The fundamental isomorphism conjecture via non-commutative motives, by Paul Balmer and Gonçalo Tabuada

Given a group, we construct a fundamental additive functor on its orbit category. We prove that any isomorphism conjecture valid for this fundamental additive functor holds for all additive functors, like K-theory, cyclic homology, topological Hochschild homology, etc. Finally, we reduce this fundamental isomorphism conjecture to K-theoretic ones.


Paul Balmer <balmer@math.ucla.edu>
Gonçalo Tabuada <tabuada@fct.unl.pt>