ON CONSTRUCTION OF REAL AW*-FACTORS

Simple item page
dc.creatorBoltaev, Kh. Kh.
dc.creatorTo‘ymurodova, S. A.
dc.date2022-12-20
dc.date.accessioned2023-08-21T13:04:49Z
dc.date.available2023-08-21T13:04:49Z
dc.descriptionThe paper of the is to initiate the study of real AW*-algebras in the framework of the theory of real C*-algebras and W*-algebras. It happens that in some aspects real AW*-algebras behave unlike complex AW*-algebras and sometimes their properties are completely different also from corresponding properties of real W*-algebras. We prove that if the complexification  of a real C*-algebra A is a (complex) AW*-algebra then A itself is a real AW∗-algebra. By modifying the Takenouchi’s examples of complex non-W*, AW*-factors we show that there exist real non-W*, AW*-factors.en-US
dc.formatapplication/pdf
dc.identifierhttps://procedia.online/index.php/applied/article/view/284
dc.identifier.urihttp://dspace.umsida.ac.id/handle/123456789/23188
dc.languageeng
dc.publisherPROCEDIA PUBLISH GROUPen-US
dc.relationhttps://procedia.online/index.php/applied/article/view/284/252
dc.rightshttps://creativecommons.org/licenses/by/4.0en-US
dc.sourceProcedia of Theoretical and Applied Sciences ; 2022: International Symposium of Life Safety and Security; 54-59en-US
dc.source2795-5621
dc.subjectAW*-algebraen-US
dc.subjectC*-algebraen-US
dc.subjectfactoren-US
dc.subjectinvolutive *-antiautomorphismen-US
dc.subjectcomplex Hilbert spaceen-US
dc.subjectcommutanten-US
dc.subjectcomplexificationen-US
dc.subjectlinear *-automorphismen-US
dc.subjectconjugateen-US
dc.subjectbicommutanten-US
dc.subjectquaternions algebraen-US
dc.subjectprojectionen-US
dc.subjectisomorphicen-US
dc.titleON CONSTRUCTION OF REAL AW*-FACTORSen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
Files
Collections
Procedia of Theoretical and Applied Sciences