KFU. Card publication. Representations on an ultraproduct of von Neumann algebras

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

REPRESENTATIONS ON AN ULTRAPRODUCT OF VON NEUMANN ALGEBRAS

Form of presentation

Conference proceedings in Russian journals and collections

Year of publication

2018

Язык

английский

Authors, employees of KFU

Khaliullin Samigulla Garifullovich, author

Bibliographic description in the original language

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.

Annotation

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

Keywords

Representations, ultraproduct, von Neumann algebra

The name of the journal

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

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=174013&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Khaliullin Samigulla Garifullovich	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/eng/?p_id=174013&p_lang=2	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	Conference proceedings in Russian journals and collections	ru_RU