For embeddable semigroups, denseness of finitely supported invariant measures is governed by extensibility to the free group, and this yields the periodic approximation property for left amenable residually finite semigroups and finite-rank free subsemigroups.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Extensibility and denseness of periodic semigroup actions
For embeddable semigroups, denseness of finitely supported invariant measures is governed by extensibility to the free group, and this yields the periodic approximation property for left amenable residually finite semigroups and finite-rank free subsemigroups.