Kowalzig, N. and Kraehmer, U. (2011) Cyclic structures in algebraic cohomology theories. Homology, Homotopy and Applications, 13(1), pp. 297-318. (doi: 10.4310/HHA.2011.v13.n1.a11)
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Abstract
This note discusses the cyclic cohomology of a left Hopf algebroid ($\times_A$-Hopf algebra) with coefficients in a right module-left comodule, defined using a straightforward generalisation of the original operators given by Connes and Moscovici for Hopf algebras. Lie-Rinehart homology is a special case of this theory. A generalisation of cyclic duality that makes sense for arbitrary para-cyclic objects yields a dual homology theory. The twisted cyclic homology of an associative algebra provides an example of this dual theory that uses coefficients that are not necessarily stable anti Yetter-Drinfel'd modules.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Kowalzig, Dr Niels and Kraehmer, Dr Ulrich |
| Authors: | Kowalzig, N., and Kraehmer, U. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Homology, Homotopy and Applications |
| ISSN: | 1532-0073 |
| Related URLs: |
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