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

### Volume 91 / 2010

Banach Center Publications 91 (2010), 105-121 MSC: Primary 16E40, 18G35; Secondary 46M18. DOI: 10.4064/bc91-0-6

#### Abstract

We revisit the old result that biflat Banach algebras have the same cyclic cohomology as ${\bf C}$, and obtain a quantitative variant (which is needed in separate, joint work of the author on the simplicial and cyclic cohomology of band semigroup algebras). Our approach does not rely on the Connes–Tsygan exact sequence, but is motivated strongly by its construction as found in [2] and [5].

#### Authors

• Yemon ChoiDépartement de mathématiques et de statistique
Pavillon Alexandre-Vachon, Université Laval