Triangulated categories and Cuntz-Quillen theory, by Christian Valqui

We define several triangulated categories on pro-complexes. Weak equivalences are maps that induce isomorphisms in the derived categories associated to them. We show that some functors associated to cyclic homology preserve the property of being a weak equivalence. As an application we give a new proof of the excision theorem of Cuntz and Quillen in the topological case.


Christian Valqui <cvalqui@pucp.edu.pe>