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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 |