We proved that the topological conjugacy relation on $T_1$, a subclass of Toeplitz subshifts, is hyperfinite, extending Kaya's result that the topological conjugate relation of Toeplitz subshifts with growing blocks is hyperfinite. A close concept about the topological conjugacy is the flip conjugacy, which has been broadly studied in terms of the topological full groups. Particularly, we provided an equivalent characterization on Toeplitz subshifts with single hole structure to be flip invariant.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc1985430 |
| Date | 08 1900 |
| Creators | Yu, Ping |
| Contributors | Jackson, Steve, Gao, Su, Fishman, Lior |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | Text |
| Rights | Public, Yu, Ping, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved. |
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