On Gradings of the Operator Algebra Generated by Mapping and Multipliers
The operator algebra generated by mapping on a countable set and multipliers is considered. The defined mapping induces a family of partial isometries satisfying some relations. These isometries, as well as the multipliers, are the generators of the investigated algebra. We equip the algebra with a...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2015-12-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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| Online Access: | https://kpfu.ru/portal/docs/F277760406/157_4_phys_mat_5.pdf |
| _version_ | 1826906510092926976 |
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| author | E.V. Patrin |
| author_facet | E.V. Patrin |
| author_sort | E.V. Patrin |
| collection | DOAJ |
| description | The operator algebra generated by mapping on a countable set and multipliers is considered. The defined mapping induces a family of partial isometries satisfying some relations. These isometries, as well as the multipliers, are the generators of the investigated algebra. We equip the algebra with a torus action and consider the corresponding covariant system. |
| first_indexed | 2024-04-11T06:57:23Z |
| format | Article |
| id | doaj.art-011a443a01b74e8a8c67deeccb860222 |
| institution | Directory Open Access Journal |
| issn | 2541-7746 2500-2198 |
| language | English |
| last_indexed | 2025-02-17T08:48:18Z |
| publishDate | 2015-12-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj.art-011a443a01b74e8a8c67deeccb8602222025-01-02T20:31:37ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982015-12-0115745666On Gradings of the Operator Algebra Generated by Mapping and MultipliersE.V. Patrin0Kazan Federal University, Kazan, 420008 RussiaThe operator algebra generated by mapping on a countable set and multipliers is considered. The defined mapping induces a family of partial isometries satisfying some relations. These isometries, as well as the multipliers, are the generators of the investigated algebra. We equip the algebra with a torus action and consider the corresponding covariant system.https://kpfu.ru/portal/docs/F277760406/157_4_phys_mat_5.pdfc∗-algebrapartial isometrymultipliergroup action on c∗-algebrafixed-point subalgebra |
| spellingShingle | E.V. Patrin On Gradings of the Operator Algebra Generated by Mapping and Multipliers Учёные записки Казанского университета: Серия Физико-математические науки c∗-algebra partial isometry multiplier group action on c∗-algebra fixed-point subalgebra |
| title | On Gradings of the Operator Algebra Generated by Mapping and Multipliers |
| title_full | On Gradings of the Operator Algebra Generated by Mapping and Multipliers |
| title_fullStr | On Gradings of the Operator Algebra Generated by Mapping and Multipliers |
| title_full_unstemmed | On Gradings of the Operator Algebra Generated by Mapping and Multipliers |
| title_short | On Gradings of the Operator Algebra Generated by Mapping and Multipliers |
| title_sort | on gradings of the operator algebra generated by mapping and multipliers |
| topic | c∗-algebra partial isometry multiplier group action on c∗-algebra fixed-point subalgebra |
| url | https://kpfu.ru/portal/docs/F277760406/157_4_phys_mat_5.pdf |
| work_keys_str_mv | AT evpatrin ongradingsoftheoperatoralgebrageneratedbymappingandmultipliers |