Year: 2026
Type: preprint
Abstract: In this note, assuming the finite factor generation theorem obtained by OpenAI, we demonstrate that if a separable simple unital $C^*$-algebra $A$ with nonempty trace space, has the strict comparison for positive elements, and its uniform tracial completion has complemented partitions of unity (CPoU), then $A$ is singly generated.
Source: arXiv (Cornell University)
Author: Ma, Xin
Institution: Harbin Institute of Technology
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223158582