A Controlled Approach to the Isomorphism Conjecture

Mathematics – K-Theory and Homology

Scientific paper

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Scientific paper

We use a hocolim approach to the Isomorphism Conjecture in K-Theory to
analyze the case of groups of the form $G\rtimes Z$ and $G_1*_{G}G_2$. As an
important corollary we prove that the isomorphism conjecture in K-Theory holds
for a finitely generated free group.

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