dc.contributor.author |
Grigoryan S. |
|
dc.contributor.author |
Kuznetsova A. |
|
dc.date.accessioned |
2018-09-18T20:16:42Z |
|
dc.date.available |
2018-09-18T20:16:42Z |
|
dc.date.issued |
2010 |
|
dc.identifier.issn |
1066-369X |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/138219 |
|
dc.description.abstract |
In this paper we consider a C*-subalgebra of the algebra of all bounded operators B(l2(X)) on the Hilbert space l2(X)) with one generating element T φ induced by a mapping φ of a set X into itself. We prove that such a C*-algebra has an AF-subalgebra and establish commutativity conditions for the latter. We prove that a C*-algebra generated by a mapping produces a dynamic system such that the corresponding group of automorphisms is invariant on elements of the AF- subalgebra. © 2010 Allerton Press, Inc. |
|
dc.relation.ispartofseries |
Russian Mathematics |
|
dc.subject |
AF-algebra |
|
dc.subject |
C*-algebra |
|
dc.subject |
partial isometry |
|
dc.title |
AF-subalgebras of a C*-algebra generated by a mapping |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
3 |
|
dc.relation.ispartofseries-volume |
54 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
72 |
|
dc.source.id |
SCOPUS1066369X-2010-54-3-SID78649586328 |
|