Integral foliated simplicial volume and ergodic decomposition
Geometric Topology
2024-02-06 v2 Dynamical Systems
Abstract
We establish an integration formula for integral foliated simplicial volume along ergodic decompositions. This is analogous to the ergodic decomposition formula for the cost of groups.
Cite
@article{arxiv.2211.00337,
title = {Integral foliated simplicial volume and ergodic decomposition},
author = {Clara Loeh and Giovanni Sartori},
journal= {arXiv preprint arXiv:2211.00337},
year = {2024}
}
Comments
15 pages; v2: corrected the main proof and improved the exposition; to appear in Annales Math\'ematiques Blaise Pascal