Cochain operations and higher cohomology operations
Stephan Klaus (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Stephan Klaus (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Andréa Solotar (1992)
Bulletin de la Société Mathématique de France
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Jacek Brodzki, Graham A. Niblo, Nick J. Wright (2012)
Journal of the European Mathematical Society
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We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.
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.
Gerald Lodder (1991)
Mathematische Zeitschrift
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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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Akira Masuoka (2003)
Banach Center Publications
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Klaus, Stephan (2003)
Portugaliae Mathematica. Nova Série
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John W. Rutter (1976)
Colloquium Mathematicae
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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.
Bacon, Philip (1979)
Portugaliae mathematica
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Jacek Brodzki (1993)
Journal für die reine und angewandte Mathematik
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Whitehouse, Sarah (1996)
Theory and Applications of Categories [electronic only]
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