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C*-Algebras Generated by Mappings. Criterion of Irreducibility

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dc.date.accessioned 2019-01-22T20:41:35Z
dc.date.available 2019-01-22T20:41:35Z
dc.date.issued 2018
dc.identifier.issn 1066-369X
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/148312
dc.description.abstract © 2018, Allerton Press, Inc. We study the operator algebra associated with a self-mapping ϕ on a countable set X which can be represented as a directed graph. The algebra is generated by the family of partial isometries acting on the corresponding l2(X). We study the structure of involutive semigroup multiplicatively generated by the family of partial isometries. We formulate the criterion when the algebra is irreducible on the Hilbert space. We consider the concrete examples of operator algebras. In particular, we give the examples of nonisomorphic C*-algebras, which are the extensions by compact operators of the algebra of continuous functions on the unit circle.
dc.relation.ispartofseries Russian Mathematics
dc.subject C*-algebra
dc.subject compact operator
dc.subject extension of C*-algebra by compact operators
dc.subject partial isometry
dc.subject positive operator
dc.subject projection
dc.subject Toeplitz algebra
dc.title C*-Algebras Generated by Mappings. Criterion of Irreducibility
dc.type Article
dc.relation.ispartofseries-issue 2
dc.relation.ispartofseries-volume 62
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 7
dc.source.id SCOPUS1066369X-2018-62-2-SID85043984575


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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