3 papers
math.GR2026
Property for non-orientable big Mapping Class Groups
Jesús Hernández Hernández, Tianyi Lou
We give a criterion for property for subgroups of orientable big mapping class groups and apply it to mapping class groups of non-orientable infinite type surfac…
math.OA2026
Simplicity of action-based -algebras from hyperbolic actions
Tianyi Lou
We study the simplicity of -algebras built from group actions. For a faithful isometric action of a group on a countable metric space , we use the associated action r…
math.GT2024
Property for big mapping class groups
Tianyi Lou
We study the property of mapping class groups of surfaces of infinite type, that is, for any finite collection of non-trivial elements $h_{1},h_{2}, \cdots, h_…