Algebra cochains and cyclic cohomology
Daniel Quillen (1988)
Publications Mathématiques de l'IHÉS
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Daniel Quillen (1988)
Publications Mathématiques de l'IHÉS
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V. Nistor (1990)
Inventiones mathematicae
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Zbigniew Fiedorowicz, Wojciech Gajda (1994)
Fundamenta Mathematicae
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We show that the geometric realization of a cyclic set has a natural, -equivariant, cellular decomposition. As an application, we give another proof of a well-known isomorphism between cyclic homology of a cyclic space and -equivariant Borel homology of its geometric realization.
Jacek Brodzki (1993)
Journal für die reine und angewandte Mathematik
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Gerald Lodder (1991)
Mathematische Zeitschrift
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Elhamdadi, Mohamed, Gouda, Yasien Gh. (2003)
International Journal of Mathematics and Mathematical Sciences
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Nistor, Victor (1997)
Documenta Mathematica
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Victor Nistor (1993)
Inventiones mathematicae
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Marton Harris (1970)
Fundamenta Mathematicae
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M. Khalkhali, B. Rangipour (2003)
Banach Center Publications
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We review recent progress in the study of cyclic cohomology of Hopf algebras, extended Hopf algebras, invariant cyclic homology, and Hopf-cyclic homology with coefficients, starting with the pioneering work of Connes-Moscovici.
Yemon Choi (2010)
Banach Center Publications
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We revisit the old result that biflat Banach algebras have the same cyclic cohomology as C, and obtain a quantitative variant (which is needed in separate, joint work of the author on the simplicial and cyclic cohomology of band semigroup algebras). Our approach does not rely on the Connes-Tsygan exact sequence, but is motivated strongly by its construction as found in [2] and [5].
Jean-Luc Brylinski (1987)
Annales de l'institut Fourier
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In this article, we present two possible extensions of the classical theory of equivariant cohomology. The first, due to P. Baum, R. MacPherson and the author, is called the “delocalized theory". We attempt to present it in very concrete form for a circle action on a smooth manifold. The second is the cyclic homology of the crossed- product algebra of the algebra of smooth functions on a manifold, by the convolution algebra of smooth functions on a Lie group, when such Lie group act...