III TURDAGI FON NEYMAN ALGEBRALARINING MARKAZIY KENGAYTMALARINING AVTOMORFIZMLARI
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Operator, avtomorfimizm, algebra, integral, Fon Neyman algebrasi.Abstrak
III turdagi fon Neyman algebrasini ning markaziy kengaytmasi ni qaraymiz. III turdagi fon Neyman algebralari uchun algebrasining o‘ziga teng, chunki Bunday holda biz ning ixtiyoriy avtomorfizmi ichki bo‘lishini, ya’ni biror unitar elementi uchun tengligi o‘rinli bo‘lishini ko‘rsatamiz. Bundan tashqari, ning har bir tasmali avtomorfizmi ichki va markazda ayniyat bo‘lishini isbotlaymiz. Bizning natijalarimiz Tomita-Takesaki modulyar nazariyasi va Konnesning III tur faktorlari klassifikatsiyasiga tayanadi.
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