Work

The generator problem for C*-algebras with comparison

Year: 2026

Type: preprint

Abstract: We show that certain classes of unital, simple, separable C*-algebras with comparison are singly generated, including tracially AF algebras and monotracial crossed products of actions on the Cantor space. In particular, we show that simple, separable, tracially AF algebras have generator rank one.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.13792

Authors: Bouwen, Ben, Castillejos, Jorge, Curda, Jakub

Institution: University of Oxford

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Grantová Agentura České Republiky, Akademie Věd České Republiky, Engineering and Physical Sciences Research Council

Awards: G1741043573, Classification, STructure, Amenability and Regularity, C*-Algebras of Symmetries and their Invariants, G3063752827, G3967893287

OpenAlex ID: W7221558139

Cites: 8

Cited by: 2

Related to: 10