English

A Controlled Approach to the Isomorphism Conjecture

K-Theory and Homology 2007-05-23 v1

Abstract

We use a hocolim approach to the Isomorphism Conjecture in K-Theory to analyze the case of groups of the form GZG\rtimes Z and G1GG2G_1*_{G}G_2. As an important corollary we prove that the isomorphism conjecture in K-Theory holds for a finitely generated free group.

Keywords

Cite

@article{arxiv.math/0404513,
  title  = {A Controlled Approach to the Isomorphism Conjecture},
  author = {Daniel Juan-Pineda and Stratos Prassidis},
  journal= {arXiv preprint arXiv:math/0404513},
  year   = {2007}
}