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A Controlled Approach to the Isomorphism Conjecture

Daniel Juan-Pineda·Stratos Prassidis
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Abstract

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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Daniel Juan-Pineda, Stratos Prassidis. 2004-04-28. A Controlled Approach to the Isomorphism Conjecture. https://arxiv.org/abs/math/0404513

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