A Pile of Shifts II: Structure and -Theory
We discuss *-algebras associated with several different natural shifts on the Hilbert space of the -adic tree, continuing the analysis from [Banach J. Math. Anal. 19 (2025), 32, 30 pages, arXiv:2412.00854] and in particular, we describe their structure and compute the -theory groups.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2025 |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/213180 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Pile of Shifts II: Structure and -Theory. Shelley Hebert, Slawomir Klimek, Matt McBride and J. Wilson Peoples. SIGMA 21 (2025), 035, 22 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862669578955390976 |
|---|---|
| author | Hebert, Shelley Klimek, Slawomir McBride, Matt Peoples, J. Wilson |
| author_facet | Hebert, Shelley Klimek, Slawomir McBride, Matt Peoples, J. Wilson |
| citation_txt | A Pile of Shifts II: Structure and -Theory. Shelley Hebert, Slawomir Klimek, Matt McBride and J. Wilson Peoples. SIGMA 21 (2025), 035, 22 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We discuss *-algebras associated with several different natural shifts on the Hilbert space of the -adic tree, continuing the analysis from [Banach J. Math. Anal. 19 (2025), 32, 30 pages, arXiv:2412.00854] and in particular, we describe their structure and compute the -theory groups.
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| first_indexed | 2026-03-16T13:08:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-213180 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-16T13:08:40Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hebert, Shelley Klimek, Slawomir McBride, Matt Peoples, J. Wilson 2026-02-16T16:33:57Z 2025 A Pile of Shifts II: Structure and -Theory. Shelley Hebert, Slawomir Klimek, Matt McBride and J. Wilson Peoples. SIGMA 21 (2025), 035, 22 pages 1815-0659 2020 Mathematics Subject Classification: 47L65; 46L35; 46L80 arXiv:2501.07756 https://nasplib.isofts.kiev.ua/handle/123456789/213180 https://doi.org/10.3842/SIGMA.2025.035 We discuss *-algebras associated with several different natural shifts on the Hilbert space of the -adic tree, continuing the analysis from [Banach J. Math. Anal. 19 (2025), 32, 30 pages, arXiv:2412.00854] and in particular, we describe their structure and compute the -theory groups. The authors wish to thank the referees for their very insightful comments and suggestions. It should be noted that one of the referees pointed out that some of our results can also be obtained using the theory of theToeplitz *-algebra of a *-correspondence as developed by [24]. While this gives a very intriguing alternative, possibly simpler technique of computing the -theory, we decided not to follow this approach since the theory of *-correspondence is separate from our unified approach based on coefficient algebras and crossed products by endomorphisms. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Pile of Shifts II: Structure and -Theory Article published earlier |
| spellingShingle | A Pile of Shifts II: Structure and -Theory Hebert, Shelley Klimek, Slawomir McBride, Matt Peoples, J. Wilson |
| title | A Pile of Shifts II: Structure and -Theory |
| title_full | A Pile of Shifts II: Structure and -Theory |
| title_fullStr | A Pile of Shifts II: Structure and -Theory |
| title_full_unstemmed | A Pile of Shifts II: Structure and -Theory |
| title_short | A Pile of Shifts II: Structure and -Theory |
| title_sort | pile of shifts ii: structure and -theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/213180 |
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