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

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

2009-10-27

arxiv.org/abs/0910.5044v2

Banach Center Publ. 91 (2010), 105--121

Mathematics

K-Theory and Homology

v2: 17 pp LaTeX, slight change to title; some references added and some background motivation expanded upon. Accepted by confe

Scientific paper

10.4064/bc91-0-6

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

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