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arXiv · 1505.03487

Coaction functors

S. Kaliszewski·Magnus B. Landstad·John Quigg
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Abstract

A certain type of functor on a category of coactions of a locally compact group on C*-algebras is introduced and studied. These functors are intended to help in the study of the crossed-product functors that have been recently introduced in relation to the Baum-Connes conjecture. The most important coaction functors are the ones induced by large ideals of the Fourier-Stieltjes algebra. It is left as an open problem whether the "minimal exact and Morita compatible crossed-product functor" is induced by a large ideal.

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S. Kaliszewski, Magnus B. Landstad, John Quigg. 2015-05-13. Coaction functors. https://doi.org/10.2140/pjm.2016.284.147

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