D. Juan-Pineda

most citedA Controlled Approach to the Isomorphism Conjecture

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math.KT2004★ 2 cited

A Controlled Approach to the Isomorphism Conjecture

Daniel Juan-Pineda, Stratos Prassidis

We use a hocolim approach to the Isomorphism Conjecture in K-Theory to analyze the case of groups of the form $G ⋊ Z$ and $G_{1} *_{G} G_{2}$ . As an important corollary we prove tha…

math.KT2003

Algebraic K-theory of mapping class groups

Ethan Berkove, Daniel Juan-Pineda, Qin Lu

We prove that the Fibered Isomorphism Conjecture of T. Farrell and L. Jones holds for various mapping class groups. In many cases, we explicitly calculate the lower algebraic K-gro…