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dc.contributor.author | Gumerov R. | |
dc.contributor.author | Lipacheva E. | |
dc.contributor.author | Grigoryan T. | |
dc.date.accessioned | 2019-01-22T20:41:39Z | |
dc.date.available | 2019-01-22T20:41:39Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 1066-369X | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/148318 | |
dc.description.abstract | © 2018, Allerton Press, Inc. We consider a covariant functor from the category of an arbitrary partially ordered set into the category of C*-algebras and their *-homomorphisms. In this case one has inductive systems of algebras over maximal directed subsets. The article deals with properties of inductive limits for those systems. In particular, for a functor whose values are Toeplitz algebras, we show that each such an inductive limit is isomorphic to a reduced semigroup C*-algebra defined by a semigroup of rationals. We endow an index set for a family of maximal directed subsets with a topology and study its properties. We establish a connection between this topology and properties of inductive limits. | |
dc.relation.ispartofseries | Russian Mathematics | |
dc.subject | covariant functor | |
dc.subject | direct product of C*-algebras | |
dc.subject | inductive limit for an inductive system of C*-algebras | |
dc.subject | partially ordered set | |
dc.subject | semigroup C*-algebra | |
dc.subject | Toeplitz algebra | |
dc.subject | topology | |
dc.title | On Inductive Limits for Systems of C*-Algebras | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 7 | |
dc.relation.ispartofseries-volume | 62 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 68 | |
dc.source.id | SCOPUS1066369X-2018-62-7-SID85049126168 |