Noncommutative Geometry of the Quantum Disk
Slawomir Klimek, Matt McBride, and J. Wilson Peoples
TL;DR
This paper explores the noncommutative geometric structure of the quantum disk by analyzing derivations on a smooth subalgebra of the Toeplitz algebra, contributing to the understanding of quantum geometric spaces.
Contribution
It provides a detailed study of derivations on a smooth subalgebra of the Toeplitz algebra, advancing the mathematical framework of noncommutative geometry for quantum disks.
Findings
Characterization of derivations on the subalgebra
Insights into the structure of noncommutative geometric spaces
Foundations for further quantum geometric analysis
Abstract
We discuss various aspects of noncommutative geometry of a smooth subalgebra of the Toeplitz algebra. In particular, we study the structure of derivations on this subalgebra.
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.
Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Algebraic structures and combinatorial models