Integral foliated simplicial volume and ergodic decomposition
arXiv:2211.00337
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.
arXiv comment15 pages; v2: corrected the main proof and improved the exposition; to appear in Annales Mathématiques Blaise Pascal