Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.
We use the homological perturbation lemma to give an algebraic proof of the cyclic Eilenberg-Zilber theorem for cylindrical modules.
[1]Bauval, A., Théorème d'Eilenberg-Zilber en homologie cyclique entière. (1998), preprint.Google Scholar
[2]
[2]Burghelea, D., The cyclic homology of the group rings. Comment.Math. Helv. (3) 60 (1985), 354–365.Google Scholar
[3]
[3]Connes, A., Cohomologie cyclique et foncteurs Extn. C. R. Acad. Sci. Paris Sér. I Math. (23) 296 (1983), 953–958.Google Scholar
[4]
[4]Dold, A. and Puppe, D., Homologie nicht-additiver Funktoren. Anwendungen, German, French summary, Ann. Inst. Fourier (Grenoble) 11 (1961), 201–312.Google Scholar
[5]
[5]Feigin, B. L. and Tsygan, B. L., Additive K-theory. K-theory, arithmetic and geometry, Moscow, 1984–1986, 67–209, Lecture Notes in Math. 1289, Springer, Berlin, 1987.Google Scholar
[6]
[6]Getzler, E. and Jones, J. D. S., The cyclic homology of crossed product algebras. J. Reine Angew.Math. 445 (1993), 161–174.Google Scholar
[7]
[7]Goerss, P. G. and Jardine, J. F., Simplicial homotopy theory. Progress in Math. 174. Birkh¨auser Verlag, Basel, 1999.Google Scholar
[8]
[8]Hood, C. E. and Jones, J. D. S., Some algebraic properties of cyclic homology groups. K-theory (4) 1 (1987), 361–384.Google Scholar
[9]
[9]Kassel, C., Homologie cyclique, caractère de Chern et lemme de perturbation. J. Reine Angew.Math. 408 (1990), 159–180.Google Scholar
[10]
[10]Kassel, C., Cyclic homology, comodules and mixed complexes. J. Algebra 107 (1987), 195–216.Google Scholar
[11]
[11]Loday, J. L., Cyclic Homology. Springer-Verlag, 1992.Google Scholar
[12]
[12]Lane, S. Mac, Homology. Reprint of the 1975 edition. Classics in Math., Springer-Verlag, Berlin, 1995.Google Scholar
[13]
[13]Weibel, C. A., An introduction to homological algebra. Cambridge Studies in Advanced Mathematics 38, Cambridge University Press, Cambridge, 1994.Google Scholar