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Algebraic connections, universal bimodules and entire cyclic cohomology

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Abstract

A new method of constructing homotopies suitable for entire cyclic cohomology is presented. As a result, the periodic and entire cyclic cohomology of Banach algebras of finite cohomological dimension are shown to be isomorphic. The same method can be used to calculate the algebraic entire cyclic cohomology of (non-commutative) tori.

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  1. Mathematisches Institut der Universität Heidelberg, Im Neuenheimer Feld 288, D-69120, Heidelberg, Germany

    Masoud Khalkhali

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  1. Masoud Khalkhali
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Communicated by A. Connes

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Khalkhali, M. Algebraic connections, universal bimodules and entire cyclic cohomology. Commun.Math. Phys. 161, 433–446 (1994). https://doi.org/10.1007/BF02101928

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  • DOI: https://doi.org/10.1007/BF02101928

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