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dc.contributor.authorAntoine, Ramon
dc.contributor.authorPerera, Francesc
dc.contributor.authorThiel, Hannes
dc.date.accessioned2017-05-04T09:54:24Z
dc.date.available2017-05-04T09:54:24Z
dc.date.issued2017-02-13
dc.identifier.urihttps://arxiv.org/abs/1702.01588
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1283
dc.description2010 Mathematics Subject Classification: Primary 06B35, 06F05, 15A69, 46L05. Secondary 06B30, 06F25, 13J25, 16W80, 16Y60, 18B35, 18D20, 19K14, 46L06, 46M15, 54F05en_US
dc.descriptionResearch in Pairs 2015en_US
dc.description.abstractWe show that abstract Cuntz semigroups form a closed symmetric monoidal category. Thus, given Cuntz semigroups $S$ and $T$, there is another Cuntz semigroup $((S,T))$ playing the role of morphisms from $S$ to $T$. Applied to C*-algebras $A$ and $B$, the semigroup $((Cu(A),Cu(B)))$ should be considered as the target in analogues of the UCT for bivariant theories of Cuntz semigroups. <br />Abstract bivariant Cuntz semigroups are computable in a number of interesting cases. We explore its behaviour under the tensor product with the Cuntz semigroup of strongly self-absorbing C*-algebras and the Jacelon-Razak algebra. We also show that order-zero maps between C*-algebras naturally define elements in the respective bivariant Cuntz semigroup.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2017,04
dc.subjectCuntz semigroupen_US
dc.subjectTensor producten_US
dc.subjectContinuous poseten_US
dc.subjectC*-algebraen_US
dc.titleAbstract Bivariant Cuntz Semigroupsen_US
dc.title.alternativeOberwolfach Preprints Vol. 2017,04
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2017-04
local.scientificprogramResearch in Pairs 2015en_US
local.series.idOWP-2017-04
local.subject.msc06
local.subject.msc15
local.subject.msc46
local.subject.msc13
local.subject.msc16
local.subject.msc18
local.subject.msc19
local.subject.msc54
dc.identifier.urnurn:nbn:de:101:1-201703313716
dc.identifier.ppn165800874X


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