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 |
|