KFU. Card publication. Ultraproducts of von Neumann algebras and ergodicity

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

ULTRAPRODUCTS OF VON NEUMANN ALGEBRAS AND ERGODICITY

Form of presentation

Articles 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

Haliullin S.G. Ultraproducts of von Neumann algebras and ergodicity / S.G. Haliullin // Uchenye zapiski Kazanskogo universiteta. Seriya Fiziko-matematicheskie nauki. - 2018, T. 160 (2), P. 287-292

Annotation

An ultraproduct of any linear spaces with respect of a non-trivial ultrafilter in an index set is generalization of non-standard expansion of the set of real numbers. The non-standard mathematical analysis has the objects and methods of a research which only to some extent depend on laws of the standard mathematical analysis. In this work non-standard objects - ultraproducts of von Neumann algebras - are studied from the point of view of the standard analysis. We introduce the concept of ergodic action with respect to a normal state o

Keywords

Ultraproducts, actions of group, ergodicity, states on von Neumann algebra

The name of the journal

Учен. зап. Казан. ун-та. Сер. физ.-мат.

URL

https://kpfu.ru/2018-tom-160-kniga-2_354394.html

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

https://repository.kpfu.ru/eng/?p_id=192117&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	Haliullin S.G. Ultraproducts of von Neumann algebras and ergodicity / S.G. Haliullin // Ученые записки Казанского университета. Серия Физико-математические науки. - 2018, T. 160 (2), P. 287-292	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=192117&p_lang=2	ru_RU
dc.description.abstract	Учен. зап. Казан. ун-та. Сер. физ.-мат.	ru_RU
dc.description.abstract	An ultraproduct of any linear spaces with respect of a non-trivial ultrafilter in an index set is generalization of non-standard expansion of the set of real numbers. The non-standard mathematical analysis has the objects and methods of a research which only to some extent depend on laws of the standard mathematical analysis. In this work non-standard objects - ultraproducts of von Neumann algebras - are studied from the point of view of the standard analysis. We introduce the concept of ergodic action with respect to a normal state o	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Ultraproducts	ru_RU
dc.subject	actions of group	ru_RU
dc.subject	ergodicity	ru_RU
dc.subject	states on von Neumann algebra	ru_RU
dc.title	Ultraproducts of von Neumann algebras and ergodicity	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU