Commutativity and Ideals in Algebraic Crossed Products
Författare
Summary, in English
We investigate properties of commutative subrings and ideals in non-commutative algebraic crossed products for actions by arbitrary groups. A description of the commutant of the coefficient subring in the crossed product ring is given. Conditions for commutativity and maximal commutativity of the commutant of the coefficient subring are provided in terms of the action as well as in terms of the intersection of ideals in the crossed product ring with the coefficient subring, specially taking into account both the case of coefficient rings without non-trivial zero-divisors and the case of coefficient rings with non-trivial zero-divisors.
Avdelning/ar
Publiceringsår
2008
Språk
Engelska
Sidor
287-302
Publikation/Tidskrift/Serie
Journal of Generalized Lie Theory and Applications
Volym
2
Issue
4
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
Ashdin Publishing
Ämne
- Mathematics
Nyckelord
- algebraic crossed products
- maximal commutativity
- ideals
Status
Published
Projekt
- Non-commutative Analysis of Dynamics, Fractals and Wavelets
- Non-commutative Geometry in Mathematics and Physics
Forskningsgrupp
- Non-commutative Geometry
ISBN/ISSN/Övrigt
- ISSN: 1736-5279