Commutativity and Ideals in Category Crossed Products
(2008)- 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:
https://lup.lub.lu.se/record/1370299
- author
- Öinert, Johan LU and Lundström, Patrik
- organization
- publishing date
- 2008
- type
- Other contribution
- publication status
- published
- subject
- keywords
- category graded rings, maximal commutativity, crossed products, ideals
- 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
- 2016-04-04 11:57:16
- date last changed
- 2021-12-03 14:00:24
@misc{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}},
keywords = {{category graded rings; maximal commutativity; crossed products; ideals}},
language = {{eng}},
publisher = {{arXiv.org}},
title = {{Commutativity and Ideals in Category Crossed Products}},
url = {{http://arxiv.org/abs/0812.1468}},
year = {{2008}},
}