On the Ideals of C∗-Algebra Generated by a Family of Partial Isometries and Multipliers
C∗-subalgebra of the algebra of all bounded operators on the Hilbert space l2 generated by the multiplier algebra and a family of partial isometries satisfying some relations is covered in the paper. The ideals of the algebra under study, as well as the ideals of the quotient algebra, are considered...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2015-03-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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| Online Access: | https://kpfu.ru/portal/docs/F185481682/157_1_phys_mat_6.pdf |
| _version_ | 1826907006491951104 |
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| author | A.Yu. Kuznetsova E.V. Patrin |
| author_facet | A.Yu. Kuznetsova E.V. Patrin |
| author_sort | A.Yu. Kuznetsova |
| collection | DOAJ |
| description | C∗-subalgebra of the algebra of all bounded operators on the Hilbert space l2 generated by the multiplier algebra and a family of partial isometries satisfying some relations is covered in the paper. The ideals of the algebra under study, as well as the ideals of the quotient algebra, are considered over compact operators. It is demonstrated that the quotient algebra can be represented as a direct sum of two principal ideals and has nontrivial center. |
| first_indexed | 2024-04-09T21:26:31Z |
| format | Article |
| id | doaj.art-ebc02303108c4e548defef00e982f3dc |
| institution | Directory Open Access Journal |
| issn | 2541-7746 2500-2198 |
| language | English |
| last_indexed | 2025-02-17T08:58:37Z |
| publishDate | 2015-03-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj.art-ebc02303108c4e548defef00e982f3dc2025-01-02T18:14:48ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982015-03-0115715159On the Ideals of C∗-Algebra Generated by a Family of Partial Isometries and MultipliersA.Yu. Kuznetsova0E.V. Patrin1Kazan Federal University, Kazan, 420008 RussiaKazan Federal University, Kazan, 420008 RussiaC∗-subalgebra of the algebra of all bounded operators on the Hilbert space l2 generated by the multiplier algebra and a family of partial isometries satisfying some relations is covered in the paper. The ideals of the algebra under study, as well as the ideals of the quotient algebra, are considered over compact operators. It is demonstrated that the quotient algebra can be represented as a direct sum of two principal ideals and has nontrivial center.https://kpfu.ru/portal/docs/F185481682/157_1_phys_mat_6.pdfc ∗ -algebrapartial isometryprincipal idealcentral projectioncalkin algebra |
| spellingShingle | A.Yu. Kuznetsova E.V. Patrin On the Ideals of C∗-Algebra Generated by a Family of Partial Isometries and Multipliers Учёные записки Казанского университета: Серия Физико-математические науки c ∗ -algebra partial isometry principal ideal central projection calkin algebra |
| title | On the Ideals of C∗-Algebra Generated by a Family of Partial Isometries and Multipliers |
| title_full | On the Ideals of C∗-Algebra Generated by a Family of Partial Isometries and Multipliers |
| title_fullStr | On the Ideals of C∗-Algebra Generated by a Family of Partial Isometries and Multipliers |
| title_full_unstemmed | On the Ideals of C∗-Algebra Generated by a Family of Partial Isometries and Multipliers |
| title_short | On the Ideals of C∗-Algebra Generated by a Family of Partial Isometries and Multipliers |
| title_sort | on the ideals of c∗ algebra generated by a family of partial isometries and multipliers |
| topic | c ∗ -algebra partial isometry principal ideal central projection calkin algebra |
| url | https://kpfu.ru/portal/docs/F185481682/157_1_phys_mat_6.pdf |
| work_keys_str_mv | AT ayukuznetsova ontheidealsofcalgebrageneratedbyafamilyofpartialisometriesandmultipliers AT evpatrin ontheidealsofcalgebrageneratedbyafamilyofpartialisometriesandmultipliers |