Show simple item record

dc.contributor.authorKaliszewski, S
dc.contributor.authorLandstad, Magnus Brostrup
dc.contributor.authorQuigg, John
dc.date.accessioned2019-10-29T10:17:12Z
dc.date.available2019-10-29T10:17:12Z
dc.date.created2018-11-15T10:41:01Z
dc.date.issued2018
dc.identifier.citationPacific Journal of Mathematics. 2018, 293 (2), 301-339.nb_NO
dc.identifier.issn0030-8730
dc.identifier.urihttp://hdl.handle.net/11250/2625072
dc.description.abstractIn their study of the application of crossed-product functors to the Baum–Connes conjecture, Buss, Echterhoff, and Willett introduced various properties that crossed-product functors may have. Here we introduce and study analogues of some of these properties for coaction functors, making sure that the properties are preserved when the coaction functors are composed with the full crossed product to make a crossed-product functor. The new properties for coaction functors studied here are functoriality for generalized homomorphisms and the correspondence property. We also study the connections with the ideal property. The study of functoriality for generalized homomorphisms requires a detailed development of the Fischer construction of maximalization of coactions with regard to possibly degenerate homomorphisms into multiplier algebras. We verify that all “KLQ” functors arising from large ideals of the Fourier–Stieltjes algebra B(G) have all the properties we study, and at the opposite extreme we give an example of a coaction functor having none of the properties.nb_NO
dc.language.isoengnb_NO
dc.publisherMathematical Sciences Publishers (MSP)nb_NO
dc.titleCoaction functors, IInb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersionnb_NO
dc.source.pagenumber301-339nb_NO
dc.source.volume293nb_NO
dc.source.journalPacific Journal of Mathematicsnb_NO
dc.source.issue2nb_NO
dc.identifier.doi10.2140/pjm.2018.293.301
dc.identifier.cristin1630825
dc.description.localcode© 2018. This is the authors' accepted and refereed manuscript to the article. The final authenticated version is available online at: http://dx.doi.org/10.2140/pjm.2018.293.301nb_NO
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record