Homology, Homotopy and Applications
Volume 12 (2010)
Cyclic homology via derived functors
Pages: 321 – 334
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.
cyclic homology; periodic cyclic homology; negative cyclic homology; cotriple derived functor
2010 Mathematics Subject Classification
16E40, 18G10, 18G50