On C <sup>*</sup>-Algebras Generated by the Set of Probability Distributions

dc.contributor.author	Amosov G.G.
dc.contributor.author	Grigoryan S.A.
dc.contributor.author	Kuznetsova A.Y.
dc.date.accessioned	2022-02-09T20:35:50Z
dc.date.available	2022-02-09T20:35:50Z
dc.date.issued	2021
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/169292
dc.description.abstract	In this paper, we consider $C^*$-algebrasgenerated by Markov operators induced by aprobabilistic dynamical system. It is shown that in some cases thesealgebras are isomorphic to Toeplitz, Cuntz, and Cuntz–Toeplitzalgebras. By the probabilistic dynamic system, the Markov operatoris constructed, and it is shown that it can be extended to a quantumchannel on a convex set of positive operators with unittrace.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	$C^*$-algebra
dc.subject	Cuntz algebra
dc.subject	quantum channel
dc.subject	Toeplitz algebra
dc.title	On C <sup>*</sup>-Algebras Generated by the Set of Probability Distributions
dc.type	Article
dc.relation.ispartofseries-issue	8
dc.relation.ispartofseries-volume	65
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	58
dc.source.id	SCOPUS1066369X-2021-65-8-SID85114013430

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.