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Excision in Banach simplicial and cyclic cohomology

Published online by Cambridge University Press:  20 January 2009

Zinaida A. Lykova
Zinaida A. Lykova
Affiliation:
Department of Mathematics and Statistics, Flyde College, Lancaster University, Lancaster LA1 4YF, England E-mail address: Z.Lykova@lancaster.ac.uk
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Abstract

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We prove that, for every extension of Banach algebras 0 → B →A → D → 0 such that B has a left or right bounded approximate identity, the existence of an associated long exact sequence of Banach simplicial or cyclic cohomology groups is equivalent to the existence of one for homology groups. It follows from the continuous version of a result of Wodzicki that associated long exact sequences exist. In particular, they exist for every extension of C*-algebras.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 2 , June 1998 , pp. 411 - 427
Copyright
Copyright © Edinburgh Mathematical Society 1998

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