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

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter

Published
Publication date2010
Host publicationBanach Algebras 2009
EditorsRichard J. Loy, Volker Runde, Andrzej Sołtysiak
Place of PublicationWarsaw
PublisherPolish Academy of Sciences
Pages105-121
Number of pages17
ISBN (print)9788386806102
<mark>Original language</mark>English

Publication series

NameBanach Center Publications
PublisherPolish Academy of Sciences
Volume91
ISSN (Print)0137-6934
ISSN (electronic)1730-6299

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].