A Controlled Approach to the Isomorphism Conjecture
classification
🧮 math.KT
keywords
conjectureisomorphismapproachk-theoryanalyzecasecontrolledcorollary
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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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