Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras
arXiv:0910.5044 · doi:10.4064/bc91-0-6
Abstract
We revisit the old result that biflat Banach algebras have the same cyclic cohomology as , and obtain a quantitative variant (which is needed in forthcoming joint work of the author). Our approach does not rely on the Connes-Tsygan exact sequence, but is motivated strongly by its construction as found in [Connes,1985] and [Helemskii,1992].
arXiv commentv2: 17 pp LaTeX, slight change to title; some references added and some background motivation expanded upon. Accepted by conference proceedings.