КФУ. Карточка публикации. Representations on an ultraproduct of von Neumann algebras

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REPRESENTATIONS ON AN ULTRAPRODUCT OF VON NEUMANN ALGEBRAS

Форма представления

Тезисы и материалы конференций в российских журналах и сборниках

Год публикации

2018

Язык

английский

Авторы, сотрудники КФУ

Халиуллин Самигулла Гарифуллович, автор

Библиографическое описание на языке оригинала

Khaliullin S.G., Representations on an ultraproduct of von Neumann algebras // Internat. sci. confer. «Infinite-dimensional analysis and control theory« dedicated to the centenary of the outstanding Russian mathematician S.V. Fomin (Moscow, January 29 - February 01, 2018), p. 8.

Аннотация

Internat. sci. confer. ?Infinite-dimensional analysis and control theory? dedicated to the centenary of the outstanding Russian mathematician S.V. Fomin

Ключевые слова

Representations, ultraproduct, von Neumann algebra

Название журнала

Internat. sci. confer. ?Infinite-dimensional analysis and control theory? dedicated to the centenary of the outstanding Russian mathematician S.V. Fomin

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https://repository.kpfu.ru/?p_id=174013

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Халиуллин Самигулла Гарифуллович	ru_RU
dc.date.accessioned	2018-01-01T00:00:00Z	ru_RU
dc.date.available	2018-01-01T00:00:00Z	ru_RU
dc.date.issued	2018	ru_RU
dc.identifier.citation	Khaliullin S.G., Representations on an ultraproduct of von Neumann algebras // Internat. sci. confer. «Infinite-dimensional analysis and control theory« dedicated to the centenary of the outstanding Russian mathematician S.V. Fomin (Moscow, January 29 - February 01, 2018), p. 8.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=174013	ru_RU
dc.description.abstract	Internat. sci. confer. ?Infinite-dimensional analysis and control theory? dedicated to the centenary of the outstanding Russian mathematician S.V. Fomin	ru_RU
dc.description.abstract	The purpose of this report is to observe ultraproducts in general and ultraproduct of von Neumann algebras in particular. Since it does not seem to be well-known that there are various notions of ultraproducts, let us start with historical point of view. We will note that the classical ultraproduct of von Neumann algebras, generally speaking, isn't von Neumann algebra. We introduce the concept of ergodic state with respect to a group of $^\ast$-automorphisms on an von Neumann algebra and its properties are studied. Also representations of von Neumann are considered. In particular, we have the example showing that the ultraproduct of irreducibles representations isn't, generally speaking, irreducible.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Representations	ru_RU
dc.subject	ultraproduct	ru_RU
dc.subject	von Neumann algebra	ru_RU
dc.title	Representations on an ultraproduct of von Neumann algebras	ru_RU
dc.type	Тезисы и материалы конференций в российских журналах и сборниках	ru_RU