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Commutativity and Ideals in Algebraic Crossed Products

Författare

  • 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.

Avdelning/ar

Publiceringsår

2008

Språk

Engelska

Sidor

287-302

Publikation/Tidskrift/Serie

Journal of Generalized Lie Theory and Applications

Volym

2

Issue

4

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