KFU. Card publication. Inductive Sequences of Toeplitz Algebras and Limit Automorphisms

KAZAN
FEDERAL UNIVERSITY

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INDUCTIVE SEQUENCES OF TOEPLITZ ALGEBRAS AND LIMIT AUTOMORPHISMS

Form of presentation

Articles in Russian journals and collections

Year of publication

2020

Язык

английский

Authors, employees of KFU

Gumerov Renat Nelsonovich, author

Bibliographic description in the original language

Gumerov, R.N. Inductive Sequences of Toeplitz Algebras and Limit Automorphisms // Lobachevskii J. Math. - Vol. 41. - No 4. - P. 637--643 (2020).doi.org/10.1134/S1995080220040125

Annotation

The note is concerned with inductive sequences of Toeplitz algebras. The Toeplitz algebra is the C∗-subalgebra in the algebra of all bounded linear operators. This subalgebra is generated by the right shift operator on the Hilbert space of all square summable complex-valued functions defined on the additive semigroup of non-negative integers. We study the inductive sequences of Toeplitz algebras whose bonding ∗-homomorphisms are defined by arbitrary sequences of natural numbers.

Keywords

inductive limit, inductive sequence

The name of the journal

Lobachevskii J. Math.

URL

https://link.springer.com/article/10.1134/S1995080220040125

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

https://repository.kpfu.ru/eng/?p_id=236807&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Gumerov Renat Nelsonovich	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	Gumerov, R.N. Inductive Sequences of Toeplitz Algebras and Limit Automorphisms // Lobachevskii J. Math. - Vol. 41. - No 4. - P. 637--643 (2020).doi.org/10.1134/S1995080220040125	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=236807&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii J. Math.	ru_RU
dc.description.abstract	The note is concerned with inductive sequences of Toeplitz algebras. The Toeplitz algebra is the C∗-subalgebra in the algebra of all bounded linear operators. This subalgebra is generated by the right shift operator on the Hilbert space of all square summable complex-valued functions defined on the additive semigroup of non-negative integers. We study the inductive sequences of Toeplitz algebras whose bonding ∗-homomorphisms are defined by arbitrary sequences of natural numbers.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	inductive limit	ru_RU
dc.subject	inductive sequence	ru_RU
dc.title	Inductive Sequences of Toeplitz Algebras and Limit Automorphisms	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU