Groupoid Actions on Fractafolds

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік
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dc.contributor.author	Ionescu, M.
dc.contributor.author	Kumjian, A.
dc.date.accessioned	2019-02-10T10:14:53Z
dc.date.available	2019-02-10T10:14:53Z
dc.date.issued	2014
dc.identifier.citation	Groupoid Actions on Fractafolds / M. Ionescu, A. Kumjian // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 20 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 28A80; 22A22; 46L55; 46L05
dc.identifier.other	DOI:10.3842/SIGMA.2014.068
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146623
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Noncommutative Geometry and Quantum Groups in honor of Marc A. Rief fel. The full collection is available at http://www.emis.de/journals/SIGMA/Rieffel.html. The work of the first author was partially supported by a grant from the Simons Foundation (#209277 to Marius Ionescu). The authors would like to thank the referees for their helpful comments.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Groupoid Actions on Fractafolds	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA