Professor Stephen Jackson invites you to attend the Doctoral Dissertation Defense of Ping Yu

WHEN: Tuesday, April 5, 2022 at 5:00pm via Zoom

"Topological conjugate relation on the space of Toeplitz subshifts"

ABSTRACT:

We proved that the topological conjugate relation on T1, 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.