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EXCISION IN CYCLIC TYPE HOMOLOGY OF FRÉCHET ALGEBRAS

Published online by Cambridge University Press:  14 June 2001

JACEK BRODZKI  and
ZINAIDA A. LYKOVA
JACEK BRODZKI
Affiliation:
Department of Mathematics, University of Exeter, North Park Road, Exeter, EX4 4QE; brodzki@maths.ex.ac.uk
ZINAIDA A. LYKOVA
Affiliation:
Department of Mathematics, University of Newcastle upon Tyne, Newcastle upon Tyne, NE1 7RU; Z.A.Lykova@ncl.ac.uk
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Abstract

It is proved that every topologically pure extension of Fréchet algebras 0 → I → A → A/I → 0 such that I is strongly H-unital has the excision property in continuous (co)homology of the following types: bar, naive-Hochschild, Hochschild, cyclic, and periodic cyclic. In particular, the property holds for every extension of Fréchet algebras such that I has a left or right bounded approximate identity.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 3 , May 2001 , pp. 283 - 291
Copyright
© The London Mathematical Society 2001

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Footnotes

This work was supported by grants from the LMS and the University of Exeter Research Fund.