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A Bivariant Chern Character, II

Published online by Cambridge University Press:  20 November 2018

Xiaolu Wang
Xiaolu Wang*
Affiliation:
University of Maryland College Park, Maryland, U.S.A.20742
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In [Con2] Connes introduced cyclic cohomology HC*(A) for an associative algebra A. When A is a complex algebra he constructed a Chern character for p-summable Fredholm modules over A taking values in HC*(A). As a very special case, when X is a closed C∞-manifold and A = C∞ (X), this construction recovers the usual Chern character, which is a rational isomorphism from the K-homology K0(X) to , the even dimensional deRham homology of X.

Keywords

Primary:19D5518G50secondary:46L8018F2555N15
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 2 , 01 April 1992 , pp. 400 - 435
Copyright
Copyright © Canadian Mathematical Society 1992

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