Excision in bivariant periodic cyclic cohomology a categorical approach, by Guillermo Cortiñas and Christian Valqui

We extend Cuntz-Quillen's excision theorem for algebras and pro-algebras in arbitrary Q-linear categories with tensor product. The excision theorems for the bivariant periodic cyclic cohomology of discrete, topological and bornological algebras and pro-algebras follow from this. Along the way we equip the category of pro-supercomplexes in an additive category with a Quillen closed model structure.

Guillermo Cortiñas <gcorti@dm.uba.ar>
Christian Valqui <cvalqui@pucp.edu.pe>