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  1. Topology and Dynamics
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  3. STDC
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  5. 2024

Dynamical Systems

‟Types and typesets in the classification of actions of non-commutative groups” by Olga Lukina <o.lukina@math.leidenuniv.nl>, Leiden University

Abstract:

The notion of the type and typeset were introduced by Baer in 1937 in order to develop a classification of rank n subgroups of $\mathbb{Q}^n$. In this talk, we will introduce the notion of the type and typeset for minimal equicontinuous actions of non-abelian groups. In particular, we show that the commensurable class of the typeset is an invariant of the return equivalence class of such an action.