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Функциональный анализ и его приложения
9 сентября 2021 г. 09:00–10:00, г. Ташкент, Онлайн на платформе Zoom
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Projectionless real $C^\ast$-algebras
A. A. Rakhimov National University of Uzbekistan named after M. Ulugbek, Tashkent
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Эта страница: | 115 |
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Аннотация:
The report is dedicated to the projectionless real $C^\ast$-algebras. Following construction of B.Blackadar (A simple $C^\ast$-algebra with no nontrivial projections. Proc. of AMS, 78, 4, 1980, 504-508) a real $C^\ast$-algebra is constructed, which is separable, simple, nuclear, nonunital, and contains no nonzero projections. It is proved that a real $C^\ast$-algebra is projectionless if and only if the enveloping $C^\ast$-algebra is projectionless. An example of a projectionless real Banach $\ast$-algebra with the $C^\ast$-property is constructed, the complexification of which contains a non-trivial projection.
Website:
https://us02web.zoom.us/j/8022228888?pwd=b3M4cFJxUHFnZnpuU3kyWW8vNzg0QT09
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