Work

Factorisation and matrix amplification of real rank zero inclusions

Year: 2026

Type: preprint

Abstract: We show that real rank zero is not preserved under matrix amplifications of inclusions. This yields real rank zero inclusions that do not approximately factor through real rank zero C*-algebras, thereby resolving two questions of Gabe and Neagu.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.31556

Author: Bell, Jamie

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Deutsche Forschungsgemeinschaft

Awards: G1399780489, G1652504919, SFB 1442: Geometrie: Deformationen und Rigidität, EXC 2044: Mathematik Münster: Dynamik – Geometrie – Struktur

OpenAlex ID: W7214665705

Cites: 2

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Related to: 10