Homologie cyclique, caractère de Chern et lemme de perturbation.
Christian Kassel (1990)
Journal für die reine und angewandte Mathematik
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Christian Kassel (1990)
Journal für die reine und angewandte Mathematik
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Ezra Getzler, John D.S. Jones (1993)
Journal für die reine und angewandte Mathematik
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Victor Nistor (1993)
Inventiones mathematicae
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V. Nistor (1990)
Inventiones mathematicae
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Daniel Quillen (1988)
Publications Mathématiques de l'IHÉS
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Gerald Lodder (1991)
Mathematische Zeitschrift
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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.
Nistor, Victor (1997)
Documenta Mathematica
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Jean-Louis Loday (1986)
Banach Center Publications
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Andréa Solotar (1992)
Bulletin de la Société Mathématique de France
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Javier Majadas (1996)
Mathematica Scandinavica
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Maria Jankiewicz (1974)
Applicationes Mathematicae
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David J. Grynkiewicz (2006)
Acta Arithmetica
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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].