KFU. Card publication. Representations of von Neumann Algebras and Ultraproducts

KAZAN
FEDERAL UNIVERSITY

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REPRESENTATIONS OF VON NEUMANN ALGEBRAS AND ULTRAPRODUCTS

Form of presentation

Articles in international journals and collections

Year of publication

2020

Язык

английский

Authors, employees of KFU

Khaliullin Samigulla Garifullovich, author

Bibliographic description in the original language

Haliullin, S. Representations of von Neumann Algebras and Ultraproducts / Haliullin S. // Int J Theor Phys - 2020. - 59(4), P. 1010–1016.

Annotation

We will introduce the concept of ergodicity of states with respect to some group of transformations on a von Neumann algebra and its properties are studied. A connection between the ergodic states on the von Neumann algebra and the representations of von Neumann algebras associated to them will be described. We also study the properties of ultraproducts of von Neumann algebras with ergodic states and corresponding representations.

Keywords

Ergodic states, Representations, Ultraproducts

The name of the journal

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

URL

https://link.springer.com/article/10.1007/s10773-019-04318-x

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

https://repository.kpfu.ru/eng/?p_id=228421&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Khaliullin Samigulla Garifullovich	ru_RU
dc.date.accessioned	2020-01-01T00:00:00Z	ru_RU
dc.date.available	2020-01-01T00:00:00Z	ru_RU
dc.date.issued	2020	ru_RU
dc.identifier.citation	Haliullin, S. Representations of von Neumann Algebras and Ultraproducts / Haliullin S. // Int J Theor Phys - 2020. - 59(4), P. 1010–1016.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=228421&p_lang=2	ru_RU
dc.description.abstract	INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS	ru_RU
dc.description.abstract	We will introduce the concept of ergodicity of states with respect to some group of transformations on a von Neumann algebra and its properties are studied. A connection between the ergodic states on the von Neumann algebra and the representations of von Neumann algebras associated to them will be described. We also study the properties of ultraproducts of von Neumann algebras with ergodic states and corresponding representations.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Ergodic states	ru_RU
dc.subject	Representations	ru_RU
dc.subject	Ultraproducts	ru_RU
dc.title	Representations of von Neumann Algebras and Ultraproducts	ru_RU
dc.type	Articles in international journals and collections	ru_RU