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An Explicit Formula for the Generalized Cyclic Shuffle Map
Published online by Cambridge University Press: 20 November 2018
Abstract
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We provide an explicit formula for the generalized cyclic shuffle map for cylindrical modules. Using this formula we give a combinatorial proof of the generalized cyclic Eilenberg–Zilber theorem.
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- Copyright © Canadian Mathematical Society 2014
References
[1]
Bauval, A., Théoréme d’Eilenberg–Zilber en homologie cyclique entiére. Prépublications du Laboratoire Emile Picard (1998), no. 112.Google Scholar
[2]
Getzler, E. and Jones, J. D. S., A1-algebras and the cyclic bar complex. Illinois J. Math. 34 (1990), no. 2, 256–283.Google Scholar
[3]
Getzler, E. and Jones, J. D. S., The cyclic homology of crossed product algebras. J. Reine Angew. Math. 445 (1993), 163–174.Google Scholar
[4]
Khalkhali, M. and Rangipour, B., On the generalized cyclic Eilenberg–Zilber Theorem. Canad. Math. Bull. 47 (2004), no. 1, 38–48. http://dx.doi.org/10.4153/CMB-2004-006-x
Google Scholar
[5]
Kustermans, J., Rognes, J., and Tuset, L., The Connes-Moscovici approach to cyclic cohomology forcompact quantum groups. K-Theory
26 (2002), no. 2, 101–137. http://dx.doi.org/10.1023/A:1020306706620
Google Scholar
[6]
Loday, J.-L., Cyclic homology. Second ed., Grundlehren der MathematischenWissenschaften, 301, Springer-Verlag, Berlin, 1998.Google Scholar
[7]
Mac Lane, S., Homology. Reprint of the 1975 edition. Classics in Mathematics, Springer-Verlag, Berlin, 1995.Google Scholar
[8]
Rinehart, G. S., Differential forms on general commutative algebras. Trans. Amer. Math. Soc. 108 (1963), 195–222. http://dx.doi.org/10.1090/S0002-9947-1963-0154906-3
Google Scholar
[9]
Zhang, J. and Hu, N., Cyclic homology of strong smash product algebras. J. Reine Angew. Math. 663 (2012), 177–207.Google Scholar
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