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
DOI:
https://doi.org/10.1090/S0002-9947-1991-0998125-4
MathSciNet review:
998125
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Abstract | References | Similar Articles | Additional Information
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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-theory of spaces. II, Topology 25 (1986), 303-317. 
, C. R. Acad. Sci. Paris 296 (1983), 953-958. 
-theory, Algebraic 
-theory. I, Lecture Notes in Math., vol. 341, Springer-Verlag, 1972, pp. 85-147. Retrieve articles in Transactions of the American Mathematical Society with MSC: 18F25, 18D05, 19D55, 20F36, 55U10
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1991-0998125-4
Article copyright:
© Copyright 1991
American Mathematical Society
