dc.contributor.author |
Kuznetsova A. |
|
dc.date.accessioned |
2020-01-15T22:01:07Z |
|
dc.date.available |
2020-01-15T22:01:07Z |
|
dc.date.issued |
2019 |
|
dc.identifier.issn |
1995-0802 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/156489 |
|
dc.description.abstract |
© 2019, Pleiades Publishing, Ltd. The algebra under study belongs to the class of operator algebras generated by a family of partial isometries, satisfying some relations on the initial and final projections. In turn, this family is uniquely determined by a self-mapping of a countable set. In the paper we consider a situation when isometry family generates an inverse semigroup. It is shown that in this (and only in this) case the corresponding C*-algebra has a nontrivial commutative AF-subalgebra, generated by a semi-lattice of projections of inverse semigroup. All invariant subspaces of the mentioned C*-algebra and its irreducible representations are described. |
|
dc.relation.ispartofseries |
Lobachevskii Journal of Mathematics |
|
dc.subject |
C*-algebra |
|
dc.subject |
irreducible representation |
|
dc.subject |
liminal representation |
|
dc.subject |
partial isometry |
|
dc.subject |
postliminal representation |
|
dc.subject |
weighted shift |
|
dc.title |
Algebra Associated with a Map Inducing an Inverse Semigroup |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
8 |
|
dc.relation.ispartofseries-volume |
40 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
1102 |
|
dc.source.id |
SCOPUS19950802-2019-40-8-SID85071753989 |
|