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A Note on the Entire Cyclic Cohomology of a Finite Dimensional Noncommutative Space

Published online by Cambridge University Press:  20 November 2018

Slawomir Klimek  and
Andrzej Lesniewski
Slawomir Klimek
Affiliation:
Department of Mathematics IUPUI Indianapolis, Indiana 46205 U.S.A.
Andrzej Lesniewski
Affiliation:
Department of Physics Harvard University Cambridge, Massachusetts 02138 U.S.A.
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Abstract

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We present sufficient conditions for entire cyclic cohomology to reduce to ordinary cyclic cohomology. These conditions are characteristic for finite dimensional (noncommutative) spaces.

Keywords

18G6019D5546L8058B30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 4 , 01 December 1993 , pp. 449 - 457
Copyright
Copyright © Canadian Mathematical Society 1993

References

[B] Bonsall, F. and Duncan, J., Complete Normed Algebras, Springer, New York, 1973.Google Scholar
[CI] Bonsall, F. A. Connes, Noncommutative Differential Geometry, I. H. E. S. Publ. Math. 62(1986), 257–360.Google Scholar
[C2] Bonsall, F., Entire Cyclic Cohomology ofBanach Algebras and Characters of θ-Summable Fredholm Modules, K-Theory 1(1988), 519–548.Google Scholar
[CGM] Connes, A., Gromov, M. and Moscovici, H., Conjecture de Novikov et fibres presque plats, C. R. Acad. Sci. Paris 310(1990), 273–277.Google Scholar
[J] Johnson, B. E., Cohomology in Banach Algebras, Mem. Amer. Math. Soc. 127(1972).Google Scholar
[JLO] Jaffe, A., Lesniewski, A. and Osterwalder, K., Quantum K-Theory I, Comm. Math. Phys. 118(1988), 1–14.Google Scholar
[K] Kassel, C., Cyclic Homology, Comodules and Mixed Complexes, J. Algebra 107(1987), 195–216.Google Scholar
[KKL] Klimek, S., Kondracki, W. and Lesniewski, A., Equivariant Entire Cyclic Cohomology I, K-Theory 4(1991), 201–218.Google Scholar
[KL] Klimek, S. and Lesniewski, A., Chern Character in Equivariant Entire Cyclic Cohomology, K-Theory 4(1991), 219–226.Google Scholar