TL;DR
This paper proves that a stabilized norm-closure of a self-adjoint representation of the twisted homogeneous coordinate ring of a Tate curve contains a UHF-algebra, linking algebraic geometry and operator algebras.
Contribution
It establishes a novel connection between Tate curves and UHF-algebras through the structure of their coordinate rings.
Findings
The norm-closure contains a UHF-algebra.
A stabilized self-adjoint representation is key.
Bridges algebraic geometry with operator algebra theory.
Abstract
It is proved that (a stabilization of) the norm-closure of a self- adjoint representation of the twisted homogeneous coordinate ring of a Tate curve contains a copy of the UHF-algebra.
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.