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Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 287-302 |
| Journal | Journal of Generalized Lie Theory and Applications |
| Volume | 2 |
| Issue number | 4 |
| Publication status | Published - 2008 |
Bibliographical note
The Journal of Generalized Lie Theory and Applications, in which this paper appears, is no longer published by Astralgo Science. The Dinah Group Inc. has taken over the publishing.Subject classification (UKÄ)
- Mathematics
Free keywords
- algebraic crossed products
- maximal commutativity
- ideals
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Dive into the research topics of 'Commutativity and Ideals in Algebraic Crossed Products'. Together they form a unique fingerprint.Research output
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Commutativity and ideals in algebraic crossed products
Öinert, J. & Silvestrov, S., 2007, (Unpublished) In: Preprints in Mathematical Sciences. 4, 17 p.Research output: Contribution to journal › Article