Показать сокращенную информацию
dc.contributor.author | Grigoryan S.A. | |
dc.contributor.author | Gumerov R.N. | |
dc.contributor.author | Lipacheva E.V. | |
dc.date.accessioned | 2022-02-09T20:32:34Z | |
dc.date.available | 2022-02-09T20:32:34Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 0081-5438 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/168878 | |
dc.description.abstract | Abstract: We consider inductive sequences of Toeplitz–Cuntz algebras. The connecting homomorphisms of such a sequence are defined by a finite set of sequences of positive integers. We prove that the inductive limit of such a sequence of Toeplitz–Cuntz algebras is isomorphic to the reduced semigroup C*-algebra constructed for the unitalization of the free product of a finite family of semigroups of positive rational numbers. We show that the limit of the inductive sequence of Toeplitz–Cuntz algebras defined by a finite set of sequences of positive integers is a simple C*-algebra. | |
dc.relation.ispartofseries | Proceedings of the Steklov Institute of Mathematics | |
dc.title | Limits of Inductive Sequences of Toeplitz–Cuntz Algebras | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 1 | |
dc.relation.ispartofseries-volume | 313 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 60 | |
dc.source.id | SCOPUS00815438-2021-313-1-SID85110932668 |