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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Crossed simplicial groups and their associated homology


Authors: Zbigniew Fiedorowicz and Jean-Louis Loday
Journal: Trans. Amer. Math. Soc. 326 (1991), 57-87
MSC: Primary 18F25; Secondary 18D05, 19D55, 20F36, 55U10
MathSciNet review: 998125
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Abstract: We introduce a notion of crossed simplicial group, which generalizes Connes' notion of the cyclic category. We show that this concept has several equivalent descriptions and give a complete classification of these structures. We also show how many of Connes' results can be generalized and simplified in this framework.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1991-0998125-4
PII: S 0002-9947(1991)0998125-4
Article copyright: © Copyright 1991 American Mathematical Society