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Commutativity and Ideals in Category Crossed Products

Öinert, Johan LU and Lundström, Patrik (2008) In arXiv.org (math.RA)
Abstract
In order to simultaneously generalize matrix rings and group graded crossed products, we introduce category crossed products. For such algebras we describe the center and the commutant of the coefficient ring. We also investigate the connection between on the one hand maximal commutativity of the coefficient ring and on the other hand nonemptyness of intersections of the coefficient ring by nonzero twosided ideals.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
unpublished
subject
keywords
category graded rings, maximal commutativity, crossed products, ideals
in
arXiv.org (math.RA)
pages
13 pages
publisher
arXiv.org
external identifiers
  • Other:arXiv:0812.1468
project
Non-commutative Analysis of Dynamics, Fractals and Wavelets
Non-commutative Geometry in Mathematics and Physics
language
English
LU publication?
yes
id
fb670c2f-726a-4e23-a9b0-4f98b1177ce1 (old id 1370299)
alternative location
http://arxiv.org/abs/0812.1468
http://arxiv.org/PS_cache/arxiv/pdf/0812/0812.1468v1.pdf
date added to LUP
2009-05-19 14:14:45
date last changed
2016-08-23 16:10:15
@article{fb670c2f-726a-4e23-a9b0-4f98b1177ce1,
  abstract     = {In order to simultaneously generalize matrix rings and group graded crossed products, we introduce category crossed products. For such algebras we describe the center and the commutant of the coefficient ring. We also investigate the connection between on the one hand maximal commutativity of the coefficient ring and on the other hand nonemptyness of intersections of the coefficient ring by nonzero twosided ideals.},
  author       = {Öinert, Johan and Lundström, Patrik},
  keyword      = {category graded rings,maximal commutativity,crossed products,ideals},
  language     = {eng},
  pages        = {13},
  publisher    = {arXiv.org},
  series       = {arXiv.org (math.RA)},
  title        = {Commutativity and Ideals in Category Crossed Products},
  year         = {2008},
}