The actions of ${\mathit{Out}(F_k)}$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility

DOI10.1017/S0143385706001015zbMath1127.20025arXivmath/0605548OpenAlexW2124378444MaRDI QIDQ5292526

Ilya Kapovich, Martin Lustig

Publication date: 21 June 2007

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605548

zbMATH Keywords

compactificationslength functionsproduct spacesdiagonal actionsouter spaceequivariant embeddingsequivariant incompatibilitiesspaces of geodesic currents

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Fundamental group, presentations, free differential calculus (57M05)

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