The fundamental isomorphism conjecture via non-commutative motives

Details The fundamental isomorphism conjecture via non-commutative motives The fundamental isomorphism conjecture via non-commutative motives

2008-10-12

arxiv.org/abs/0810.2099v6

Mathematics

K-Theory and Homology

Revised version. 21 pages

Scientific paper

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

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