Groupoid Actions on Fractafolds
We define a bundle over a totally disconnected set such that each fiber is homeomorphic to a fractal blowup. We prove that there is a natural action of a Renault-Deaconu groupoid on our fractafold bundle and that the resulting action groupoid is a Renault-Deaconu groupoid itself. We also show that w...
Збережено в:
| Дата: | 2014 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146623 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Groupoid Actions on Fractafolds / M. Ionescu, A. Kumjian // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 20 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146623 |
|---|---|
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dspace |
| spelling |
irk-123456789-1466232019-02-11T01:24:21Z Groupoid Actions on Fractafolds Ionescu, M. Kumjian, A. We define a bundle over a totally disconnected set such that each fiber is homeomorphic to a fractal blowup. We prove that there is a natural action of a Renault-Deaconu groupoid on our fractafold bundle and that the resulting action groupoid is a Renault-Deaconu groupoid itself. We also show that when the bundle is locally compact the associated C∗-algebra is primitive and has a densely defined lower-semicontinuous trace. 2014 Article Groupoid Actions on Fractafolds / M. Ionescu, A. Kumjian // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 20 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 28A80; 22A22; 46L55; 46L05 DOI:10.3842/SIGMA.2014.068 http://dspace.nbuv.gov.ua/handle/123456789/146623 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We define a bundle over a totally disconnected set such that each fiber is homeomorphic to a fractal blowup. We prove that there is a natural action of a Renault-Deaconu groupoid on our fractafold bundle and that the resulting action groupoid is a Renault-Deaconu groupoid itself. We also show that when the bundle is locally compact the associated C∗-algebra is primitive and has a densely defined lower-semicontinuous trace. |
| format |
Article |
| author |
Ionescu, M. Kumjian, A. |
| spellingShingle |
Ionescu, M. Kumjian, A. Groupoid Actions on Fractafolds Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Ionescu, M. Kumjian, A. |
| author_sort |
Ionescu, M. |
| title |
Groupoid Actions on Fractafolds |
| title_short |
Groupoid Actions on Fractafolds |
| title_full |
Groupoid Actions on Fractafolds |
| title_fullStr |
Groupoid Actions on Fractafolds |
| title_full_unstemmed |
Groupoid Actions on Fractafolds |
| title_sort |
groupoid actions on fractafolds |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146623 |
| citation_txt |
Groupoid Actions on Fractafolds / M. Ionescu, A. Kumjian // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 20 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT ionescum groupoidactionsonfractafolds AT kumjiana groupoidactionsonfractafolds |
| first_indexed |
2023-05-20T17:25:16Z |
| last_indexed |
2023-05-20T17:25:16Z |
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1796153255326121984 |