Work

On generators of $\mathrm{C}_r^*(\mathbb{F}_2)$

Year: 2026

Type: preprint

Abstract: It is shown that the reduced group C*-algebra $\mathrm{C}_r^*(\mathbb{F}_2)$ is singly generated, where $\mathbb F_2$ is the free group on two generators. With respect to the generator constructed in the paper, the topological free entropy dimension of $\mathrm{C}_r^*(\mathbb{F}_2)$ is shown to be $2$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.32058

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

Institutions: Northeast Normal University, University of Wyoming

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Sciences and Engineering Research Council of Canada

OpenAlex ID: W7214780690

Cites: 2

Cited by: 3

Related to: 10