Displaying similar documents to “Cyclic cohomology of crossed products by algebraic.”

Excision in entire cyclic cohomology

Ralf Meyer (2001)

Journal of the European Mathematical Society

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We prove that entire and periodic cyclic cohomology satisfy excision for extensions of bornological algebras with a bounded linear section. That is, for such an extension we obtain a six term exact sequence in cohomology.

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

Yemon Choi (2010)

Banach Center Publications

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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].