A simple formula for cyclic duality

Elmendorf, A. D.

doi:10.1090/S0002-9939-1993-1143017-0

A simple formula for cyclic duality
HTML articles powered by AMS MathViewer

by A. D. Elmendorf PDF

Proc. Amer. Math. Soc. 118 (1993), 709-711 Request permission

Abstract:

We give a simple formula for duality in an easily described covering category of the cyclic category and show that the formula given descends to the cyclic category.

References

Alain Connes, Cohomologie cyclique et foncteurs $\textrm {Ext}^n$, C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), no. 23, 953–958 (French, with English summary). MR 777584
W. G. Dwyer, M. J. Hopkins, and D. M. Kan, The homotopy theory of cyclic sets, Trans. Amer. Math. Soc. 291 (1985), no. 1, 281–289. MR 797060, DOI 10.1090/S0002-9947-1985-0797060-1
W. G. Dwyer and D. M. Kan, Normalizing the cyclic modules of Connes, Comment. Math. Helv. 60 (1985), no. 4, 582–600. MR 826872, DOI 10.1007/BF02567433
Thomas G. Goodwillie, Cyclic homology, derivations, and the free loopspace, Topology 24 (1985), no. 2, 187–215. MR 793184, DOI 10.1016/0040-9383(85)90055-2
John D. S. Jones, Cyclic homology and equivariant homology, Invent. Math. 87 (1987), no. 2, 403–423. MR 870737, DOI 10.1007/BF01389424
Jean-Louis Loday and Daniel Quillen, Cyclic homology and the Lie algebra homology of matrices, Comment. Math. Helv. 59 (1984), no. 4, 569–591. MR 780077, DOI 10.1007/BF02566367