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dc.contributor.authorKaliszewski, Steve
dc.contributor.authorLandstad, Magnus Brostrup
dc.contributor.authorQuigg, John
dc.identifier.citationJournal of the Australian Mathematical Society. 2020, .en_US
dc.description.abstractRecent work by Baum et al. [‘Expanders, exact crossed products, and the Baum–Connes conjecture’, Ann. K-Theory 1(2) (2016), 155–208], further developed by Buss et al. [‘Exotic crossed products and the Baum–Connes conjecture’, J. reine angew. Math. 740 (2018), 111–159], introduced a crossed-product functor that involves tensoring an action with a fixed action (C,γ), then forming the image inside the crossed product of the maximal-tensor-product action. For discrete groups, we give an analogue for coaction functors. We prove that composing our tensor-product coaction functor with the full crossed product of an action reproduces their tensor-crossed-product functor. We prove that every such tensor-product coaction functor is exact, and if (C,γ) is the action by translation on ℓ∞(G), we prove that the associated tensor-product coaction functor is minimal, thereby recovering the analogous result by the above authors. Finally, we discuss the connection with the E-ization functor we defined earlier, where E is a large ideal of B(G).en_US
dc.publisherCambridge University Press on behalf of The Australian Mathematical Publishing Association Inc.en_US
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internasjonal*
dc.titleTensor-product coaction functorsen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.source.journalJournal of the Australian Mathematical Societyen_US
dc.description.localcode© 2020. This is the authors’ accepted and refereed manuscript to the article. Locked until 24 September 2020 due to copyright restrictions. This manuscript version is made available under the CC-BY-NC-ND 4.0 license

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Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal