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- Universal_representation_(C*-algebra) abstract "In the theory of C*-algebras, the universal representation of a C*-algebra is a faithful representation which is the direct sum of the GNS representations corresponding to the states of the C*-algebra. The various properties of the universal representation are used to obtain information about the ideals and quotients of the C*-algebra. The close relationship between an arbitrary representation of a C*-algebra and its universal representation can be exploited to obtain several criteria for determining whether a linear functional on the algebra is ultraweakly continuous. The method of using the properties of the universal representation as a tool to prove results about the C*-algebra and its representations is commonly referred to as universal representation techniques in the literature.".
- Universal_representation_(C*-algebra) wikiPageExternalLink 1993-029-001-004.html.
- Universal_representation_(C*-algebra) wikiPageID "47005042".
- Universal_representation_(C*-algebra) wikiPageLength "7617".
- Universal_representation_(C*-algebra) wikiPageOutDegree "13".
- Universal_representation_(C*-algebra) wikiPageRevisionID "674393808".
- Universal_representation_(C*-algebra) wikiPageWikiLink C*-algebra.
- Universal_representation_(C*-algebra) wikiPageWikiLink Category:C*-algebras.
- Universal_representation_(C*-algebra) wikiPageWikiLink Category:Operator_algebras.
- Universal_representation_(C*-algebra) wikiPageWikiLink Commutative_diagram.
- Universal_representation_(C*-algebra) wikiPageWikiLink Gelfand–Naimark–Segal_construction.
- Universal_representation_(C*-algebra) wikiPageWikiLink Kadison,_Richard.
- Universal_representation_(C*-algebra) wikiPageWikiLink Richard_Kadison.
- Universal_representation_(C*-algebra) wikiPageWikiLink State_(functional_analysis).
- Universal_representation_(C*-algebra) wikiPageWikiLink Ultraweak_topology.
- Universal_representation_(C*-algebra) wikiPageWikiLink File:Univ_rep_diag.png.
- Universal_representation_(C*-algebra) wikiPageWikiLinkText "Christensen-Haagerup Principle".
- Universal_representation_(C*-algebra) wikiPageWikiLinkText "universal representation".
- Universal_representation_(C*-algebra) hasPhotoCollection Universal_representation_(C*-algebra).
- Universal_representation_(C*-algebra) wikiPageUsesTemplate Template:Citation.
- Universal_representation_(C*-algebra) wikiPageUsesTemplate Template:Empty_section.
- Universal_representation_(C*-algebra) wikiPageUsesTemplate Template:Overline.
- Universal_representation_(C*-algebra) wikiPageUsesTemplate Template:Unreferenced.
- Universal_representation_(C*-algebra) subject Category:C*-algebras.
- Universal_representation_(C*-algebra) subject Category:Operator_algebras.
- Universal_representation_(C*-algebra) hypernym Representation.
- Universal_representation_(C*-algebra) comment "In the theory of C*-algebras, the universal representation of a C*-algebra is a faithful representation which is the direct sum of the GNS representations corresponding to the states of the C*-algebra. The various properties of the universal representation are used to obtain information about the ideals and quotients of the C*-algebra.".
- Universal_representation_(C*-algebra) label "Universal representation (C*-algebra)".
- Universal_representation_(C*-algebra) sameAs m.013f7vhz.
- Universal_representation_(C*-algebra) wasDerivedFrom Universal_representation_(C*-algebra)?oldid=674393808.
- Universal_representation_(C*-algebra) isPrimaryTopicOf Universal_representation_(C*-algebra).