### Simplicial normalization in the entire cyclic cohomology of Banach algebras, by Jacek Brodzki

We show that the entire cyclic cohomology of Banach algebras
defined by Connes has the simplicial normalization property.
A key tool in the proof is the notion and properties of supertraces
on the Cuntz algebra QA. As an example of further applications
of this technique we give a proof of the homotopy invariance of
entire cyclic cohomology.

This paper has appeared in *K-theory*, volume 9, 1995, pages 353-377.

Jacek Brodzki <J.W.Brodzki@durham.ac.uk>