The cyclic, periodic cyclic and negative cyclic homologies of associative algebras are fitted into the context of cotriple homology of Barr and Beck. As applications of these results, an axiomatic description of the cyclic homology theory and the Hopf type formulas in the sense of Brown-Ellis are given.
Homology, Homotopy and Applications, Vol. 12 (2010), No. 2, pp.321-334.
Available as: dvi dvi.gz ps ps.gz pdf