Rohlin Flows on Amalgamated Free Product Factors
Koichi Shimada
TL;DR
This paper constructs and characterizes Rohlin flows on amalgamated free product factors, extending classification results to non-McDuff factors through a new approach involving free actions on measured spaces.
Contribution
It introduces a method to construct Rohlin flows on amalgamated free product factors and extends existing classification theorems to non-McDuff factors.
Findings
Existence of Rohlin flows on amalgamated free product factors
Characterization of Rohlin property via freeness of group actions
Extension of classification theorems to non-McDuff factors
Abstract
We construct flows on an amalgamated free product factor and characterize the Rohlin property for them by freeness of actions on a measured space. As a corolally, it turns out that there exist Rohlin flows on an amalgamated free product factor. This shows that the classification theorem of Masuda and Tomatsu for the Rohlin flows is also applicable to flows on non-McDuff factors.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.