Kazan Federal University Digital Repository

Limits of Inductive Sequences of Toeplitz–Cuntz Algebras

Show simple item record

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


Files in this item

This item appears in the following Collection(s)

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

Show simple item record

Search DSpace


Advanced Search

Browse

My Account

Statistics