Residually finite-dimensional operator algebras

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dc.contributor.authorClouâtre, Raphaël
dc.contributor.authorRamsey, Christopher
dc.date.accessioned2020-12-17
dc.date.accessioned2022-05-31T01:43:00Z
dc.date.available2022-05-31T01:43:00Z
dc.date.issued2019
dc.description.abstractWe study non-selfadjoint operator algebras that can be entirely understood via their finite-dimensional representations. In contrast with the elementary matricial description of finite-dimensional C∗-algebras, in the non-selfadjoint setting we show that an additional level of flexibility must be allowed. Motivated by this peculiarity, we consider a natural non-selfadjoint notion of residual finite-dimensionality. We identify sufficient conditions for the tensor algebra of a C∗-correspondence to enjoy this property. To clarify the connection with the usual self-adjoint notion, we investigate the residual finite-dimensionality of the minimal and maximal C∗-covers associated to an operator algebra.
dc.format.extent466.70KB
dc.format.mimetypePDF
dc.identifier.citationClouatre, R. & Ramsey, C. (2019). Residually finite-dimensional operator algebras. Journal of Functional Analysis 277 (8), 2572-2616. https://doi.org/10.1016/j.jfa.2018.12.016
dc.identifier.doihttps://doi.org/10.1016/j.jfa.2018.12.016
dc.identifier.urihttps://hdl.handle.net/20.500.14078/2104
dc.languageEnglish
dc.language.isoen
dc.rightsAttribution-NonCommercial-NoDerivs (CC BY-NC-ND)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectresidual finite-dimensionality
dc.subjectnon-selfadjoint operator algebras
dc.subjecttensor algebras
dc.subjectC⁎-covers
dc.titleResidually finite-dimensional operator algebras
dc.typeArticle Post-Print
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