Geodesic
Groupoid Actions on Fractafolds
Symmetry, integrability and geometry: methods and applications, Tome 10 (2014) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Renault–Deaconu groupoids; fractafolds; iterated function systems. 
@article{SIGMA_2014_10_a67,
     author = {Marius Ionescu and Alex Kumjian},
     title = {Groupoid {Actions} on {Fractafolds}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2014},
     volume = {10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a67/}
}
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Marius Ionescu; Alex Kumjian. Groupoid Actions on Fractafolds. Symmetry, integrability and geometry: methods and applications, Tome 10 (2014). http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a67/

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