The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Commutativity and Ideals in Algebraic Crossed Products

På svenska

Author

  • Johan Öinert
  • Sergei Silvestrov

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.

Publishing year

2008

Language

English

Pages

287-302

Publication/Series

Journal of Generalized Lie Theory and Applications

Volume

2

Issue

4

Document type

Journal article

Publisher

Ashdin Publishing

Topic

  • Mathematics

Keywords

  • algebraic crossed products
  • maximal commutativity
  • ideals

Status

Published

Project

  • Non-commutative Analysis of Dynamics, Fractals and Wavelets
  • Non-commutative Geometry in Mathematics and Physics

Research group

  • Non-commutative Geometry

ISBN/ISSN/Other

  • ISSN: 1736-5279