Nonstandard Quantum Complex Projective Line
In our attempt to explore how the quantum nonstandard complex projective spaces ℂⁿq,c studied by Korogodsky, Vaksman, Dijkhuizen, and Noumi are related to those arising from the geometrically constructed Bohr-Sommerfeld groupoids by Bonechi, Ciccoli, Qiu, Staffolani, and Tarlini, we were led to esta...
Збережено в:
| Опубліковано в: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2020 |
| ISSN: | 1815-0659 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210775 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Nonstandard Quantum Complex Projective Line. Nicola Ciccoli and Albert Jeu-Liang Sheu. SIGMA 16 (2020), 073, 14 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862701433822904320 |
|---|---|
| author | Ciccoli, Nicola Sheu, Albert Jeu-Liang |
| author_facet | Ciccoli, Nicola Sheu, Albert Jeu-Liang |
| citation_txt | Nonstandard Quantum Complex Projective Line. Nicola Ciccoli and Albert Jeu-Liang Sheu. SIGMA 16 (2020), 073, 14 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In our attempt to explore how the quantum nonstandard complex projective spaces ℂⁿq,c studied by Korogodsky, Vaksman, Dijkhuizen, and Noumi are related to those arising from the geometrically constructed Bohr-Sommerfeld groupoids by Bonechi, Ciccoli, Qiu, Staffolani, and Tarlini, we were led to establish the known identification of (ℂ¹q,c) with the pull-back of two copies of the Toeplitz *-algebra along the symbol map in a more direct way via an operator theoretic analysis, which also provides some interesting non-obvious details, such as a prominent generator of (ℂ¹q,c) being a concrete weighted double shift.
|
| first_indexed | 2026-03-18T14:21:04Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210775 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-18T14:21:04Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ciccoli, Nicola Sheu, Albert Jeu-Liang 2025-12-17T14:36:14Z 2020 Nonstandard Quantum Complex Projective Line. Nicola Ciccoli and Albert Jeu-Liang Sheu. SIGMA 16 (2020), 073, 14 pages 1815-0659 2020 Mathematics Subject Classification: 58B32; 46L85 arXiv:2002.03439 https://nasplib.isofts.kiev.ua/handle/123456789/210775 https://doi.org/10.3842/SIGMA.2020.073 In our attempt to explore how the quantum nonstandard complex projective spaces ℂⁿq,c studied by Korogodsky, Vaksman, Dijkhuizen, and Noumi are related to those arising from the geometrically constructed Bohr-Sommerfeld groupoids by Bonechi, Ciccoli, Qiu, Staffolani, and Tarlini, we were led to establish the known identification of (ℂ¹q,c) with the pull-back of two copies of the Toeplitz *-algebra along the symbol map in a more direct way via an operator theoretic analysis, which also provides some interesting non-obvious details, such as a prominent generator of (ℂ¹q,c) being a concrete weighted double shift. N. Ciccoli was partially supported by INDAM-GNSAGA and Fondo Ricerca di Base 2017 "Geometria della quantizzazione". A.J.-L. Sheu was partially supported by the University of Perugia Visiting Researcher Program, the grant H2020-MSCA-RISE-2015-691246-QUANTUM DYNAMICS, and the Polish government grant 3542/H2020/2016/2. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Nonstandard Quantum Complex Projective Line Article published earlier |
| spellingShingle | Nonstandard Quantum Complex Projective Line Ciccoli, Nicola Sheu, Albert Jeu-Liang |
| title | Nonstandard Quantum Complex Projective Line |
| title_full | Nonstandard Quantum Complex Projective Line |
| title_fullStr | Nonstandard Quantum Complex Projective Line |
| title_full_unstemmed | Nonstandard Quantum Complex Projective Line |
| title_short | Nonstandard Quantum Complex Projective Line |
| title_sort | nonstandard quantum complex projective line |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210775 |
| work_keys_str_mv | AT ciccolinicola nonstandardquantumcomplexprojectiveline AT sheualbertjeuliang nonstandardquantumcomplexprojectiveline |