The global dimensions of crossed products and crossed coproducts. (Q1034307)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The global dimensions of crossed products and crossed coproducts. |
scientific article; zbMATH DE number 5629541
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The global dimensions of crossed products and crossed coproducts. |
scientific article; zbMATH DE number 5629541 |
Statements
The global dimensions of crossed products and crossed coproducts. (English)
0 references
11 November 2009
0 references
If \(H\) is a semisimple cosemisimple Hopf algebra, and \(A\#_\sigma H\) is a crossed product with invertible cocycle \(\sigma\), then it is shown that \(A\#_\sigma H\) and \(A\) have the same global dimension. This equality between global dimensions is also investigated when no semisimplicity of \(H\) or \(H^*\) are assumed, and the method of twistings is used to study the dual case of crossed coproducts of coalgebras.
0 references
global dimension
0 references
crossed products
0 references
crossed coproducts
0 references
twistings
0 references
cosemisimple Hopf algebras
0 references
coalgebras
0 references
