Excision in bivariant periodic cyclic cohomology: a categorical approach

Abstract

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.

32 pages, Amslatex, uses xypic. Final version to appear in K-theory

References in corpus (1)

• Analytic cyclic cohomology

Cited by in corpus (5)

• The obstruction to excision in K-theory and in cyclic homology
• Nonarchimedean bornologies, cyclic homology and rigid cohomology
• Excision in Hochschild and cyclic homology without continuous linear sections
• Non-Archimedean analytic cyclic homology
• Comparison between algebraic and topological K-theory of locally convex algebras