Journal article
Automata, groups, limit spaces, and tilings
- Abstract:
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We explore the connections between automata, groups, limit spaces of self-similar actions, and tilings. In particular, we show how a group acting “nicely” on a tree gives rise to a self-covering of a topological groupoid, and how the group can be reconstructed from the groupoid and its covering. The connection is via finite-state automata. These define decomposition rules, or self-similar tilings, on leaves of the solenoid associated with the covering.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
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(Preview, Accepted manuscript, pdf, 373.8KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jalgebra.2005.10.022
Authors
Bibliographic Details
- Publisher:
- Elsevier
- Journal:
- Journal of Algebra More from this journal
- Publication date:
- 2006-11-15
- DOI:
- ISSN:
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0021-8693
Item Description
- Keywords:
- Pubs id:
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pubs:693823
- UUID:
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uuid:158ec9aa-8223-489a-b052-9760d05bab13
- Local pid:
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pubs:693823
- Source identifiers:
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693823
- Deposit date:
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2017-05-08
Terms of use
- Copyright holder:
- Elsevier
- Copyright date:
- 2006
- Notes:
- © 2005 Elsevier Inc. All rights reserved. his is the Accepted Manuscript version of the article. The final version is available online from Elsevier at: https://doi.org/10.1016/j.jalgebra.2005.10.022
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