Derivations, semidirect products and reduced cyclic cohomology.
Jacek Brodzki (1993)
Journal für die reine und angewandte Mathematik
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Jacek Brodzki (1993)
Journal für die reine und angewandte Mathematik
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G. I. Sharygin (2003)
Banach Center Publications
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We employ the notion of the universal differential calculus to propose yet another approach to the Hopf-type cohomology of Hopf algebras.
Ezra Getzler, John D.S. Jones (1993)
Journal für die reine und angewandte Mathematik
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Ciupală, Cătălin (2006)
APPS. Applied Sciences
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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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Jean-Louis Loday (1986)
Banach Center Publications
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Javier Majadas (1996)
Mathematica Scandinavica
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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].
Elhamdadi, Mohamed, Gouda, Yasien Gh. (2003)
International Journal of Mathematics and Mathematical Sciences
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Maria Jankiewicz (1974)
Applicationes Mathematicae
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David J. Grynkiewicz (2006)
Acta Arithmetica
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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.
Andréa Solotar (1992)
Bulletin de la Société Mathématique de France
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K. T. Phelps (1980)
Colloquium Mathematicae
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Edjvet, Martin, Hammond, Paul, Thomas, Nathan (2001)
Experimental Mathematics
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