Topological Conjugacy Relation on the Space of Toeplitz Subshifts
Description:
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 invari…
more
Date:
August 2022
Creator:
Yu, Ping
Partner:
UNT Libraries