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

• Autorzy: Yemon Choi
• Języki publikacji: EN

Abstrakty

EN

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 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].

Kategorie tematyczne

• 18G35: Chain complexes
• 46M18: Homological methods (exact sequences, right inverses, lifting, etc.)
• 16E40: (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 91
• Numer: 1
• Strony: 105-121

Daty

wydano

2010

Twórcy

autor

Yemon Choi

• Département de mathématiques et de statistique, Pavillon Alexandre-Vachon, Université Laval, Québec, QC, Canada G1V 0A6

Identyfikatory

DOI

10.4064/bc91-0-6