Injective Envelopes and Local Multiplier Algebras of Some Spatial Continuous Trace C∗-algebras

dc.creatorArgerami, Martín
dc.creatorFarenick, Douglas
dc.creatorMassey, Pedro Gustavo
dc.date2012
dc.date2021-10-04T14:43:20Z
dc.date.accessioned2023-07-15T03:31:36Z
dc.date.available2023-07-15T03:31:36Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/126139
dc.identifierissn:0033-5606
dc.identifierissn:1464-3847
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7466048
dc.descriptionA precise description of the injective envelope of a spatial continuous trace C*-algebra A over a Stonean space Δ is given. The description is based on the notion of a weakly continuous Hilbert bundle, which we show herein to be a Kaplansky–Hilbert module over the abelian AW*-algebra C(Δ). We then use the description of the injective envelope of A to study the first- and second-order local multiplier algebras of A. In particular, we show that the second-order local multiplier algebra of A is precisely the injective envelope of A.
dc.descriptionFacultad de Ciencias Exactas
dc.formatapplication/pdf
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subjectMatemática
dc.subjectCellular algebra
dc.subjectDiscrete mathematics
dc.subjectDivision algebra
dc.subjectAlgebra representation
dc.subjectDivisible group
dc.subjectUniversal enveloping algebra
dc.subjectPure mathematics
dc.subjectMultiplier algebra
dc.subjectMathematics
dc.subjectSubalgebra
dc.subjectInjective module
dc.titleInjective Envelopes and Local Multiplier Algebras of Some Spatial Continuous Trace C∗-algebras
dc.typeArticulo
dc.typePreprint


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