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Commutativity and ideals in category crossed products; pp. 338–346

Full article in PDF format | doi: 10.3176/proc.2010.4.13

Johan Öinert, Patrik Lundström

In order to simultaneously generalize matrix rings and group graded crossed products, we introduce category crossed products. For such algebras we describe the centre 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 nonemptiness of intersections of the coefficient ring by nonzero two-sided ideals.

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