2-local derivations on semi-finite von Neumann algebras
Shavkat Ayupov, Farkhad Arzikulov
TL;DR
This paper proves that all 2-local derivations on semi-finite von Neumann algebras are actually derivations, confirming a conjecture in the structure theory of operator algebras.
Contribution
It establishes that every 2-local derivation on semi-finite von Neumann algebras is a derivation, advancing the understanding of derivation structures.
Findings
Every 2-local derivation on semi-finite von Neumann algebra is a derivation.
Supports the conjecture that 2-local derivations coincide with derivations in this setting.
Enhances the structural theory of operator algebras.
Abstract
In the present paper we prove that every 2-local derivation on a semi-finite von Neumann algebra is a derivation.
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.