Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras

Choi, Yemon (2010) Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras. In: Banach Algebras 2009. Banach Center Publications . Polish Academy of Sciences, Warsaw, pp. 105-121. ISBN 9788386806102

Abstract

We revisit the old result that biflat Banach algebras have the same cyclic cohomology as C, 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].