Work

On the generators of separable unital C*-algebras

Year: 2026

Type: preprint

Abstract: Let $A$ be a separable unital $\mathrm C^*$-algebra with nonempty tracial state space and strict comparison by ordinary tracial states. If $\mathcal Z$ embeds unitally into $A$, then $A$ is singly generated. In particular, every simple separable unital $\mathrm C^*$-algebra $A$ with $\mathrm T(A)\ne\varnothing$ and strict comparison is singly generated.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.17411

Authors: Elliott, George A., Li, Chun Guang, Niu, Zhuang

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221748010

Cites: 16

Cited by: 2

Related to: 10