Groupoid Actions on Fractafolds
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Groupoid Actions on Fractafolds
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| Creator |
Ionescu, M.
Kumjian, A. |
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| 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.
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| Date |
2019-02-10T10:14:53Z
2019-02-10T10:14:53Z 2014 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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