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Aperiodic dynamical inclusions of C*-algebras

dc.contributor.advisorMeyer, Ralf
dc.contributor.authorTaylor, Jonathan Peter
dc.date.accessioned2023-02-16T14:50:40Z
dc.date.available2023-02-23T00:50:09Z
dc.date.issued2023-02-16
dc.identifier.urihttp://resolver.sub.uni-goettingen.de/purl?ediss-11858/14517
dc.identifier.urihttp://dx.doi.org/10.53846/goediss-9727
dc.format.extent57 Seitende
dc.language.isoengde
dc.subject.ddc510de
dc.titleAperiodic dynamical inclusions of C*-algebrasde
dc.typedoctoralThesisde
dc.contributor.refereeSchick, Thomas
dc.date.examination2022-09-22de
dc.description.abstractengWe define an analogue of the local multiplier algebra for Hilbert modules and use properties of this localisation to enrich non-closed actions on C*-algebras to closed actions on local multiplier algebras. This is used to descend known results on such closed actions down to their unclosed counterparts. We define aperiodic dynamical inclusions and characterise them as crossed products by inverse semigroup actions. We show that in the commutative case we show that weak Cartan subalgebras are maximal abelian, and show such inclusions have twisted groupoid models.de
dc.contributor.coRefereeZhu, Chenchang
dc.subject.engoperator algebrasde
dc.subject.engC*-algebrasde
dc.subject.engcrossed productde
dc.subject.enginverse semigroupde
dc.subject.engétale groupoidde
dc.identifier.urnurn:nbn:de:gbv:7-ediss-14517-8
dc.affiliation.instituteFakultät für Mathematik und Informatikde
dc.subject.gokfullMathematics (PPN61756535X)de
dc.description.embargoed2023-02-23de
dc.identifier.ppn1836921470
dc.identifier.orcid0000-0002-6951-999Xde
dc.notes.confirmationsentConfirmation sent 2023-02-16T15:15:01de


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