The strong topological Rokhlin property and Medvedev degrees of SFTs
arXiv:2601.03501
Abstract
We prove that if a recursively presented group admits a (nonempty) subshift of finite type with nonzero Medvedev degree then it fails to have the strong topological Rokhlin property. This result simplifies a known criterion and provides new examples of recursively presented groups without this property.
8 pages, comments welcome!