Simplicity of Lp-graph algebras

For each finite p⩾1 and each countable directed graph E we consider the Leavitt path C-algebra L(E) and the Lp-operator graph algebra Op(E). We show that the (purely infinite) simplicity of Op(E) as a Banach algebra is equivalent to the (purely infinite) simplicity of L(E) as a ring.

Authors

Diego Montero (ORCID: https://orcid.org/0000-0001-5844-7364)
Guillermo Cortiñas⋆ (ORCID: https://orcid.org/0000-0002-8103-1831)
María Eugenia Rodríguez (ORCID: https://orcid.org/0000-0001-8902-5324)

Publication Details

Journal: Journal of Operator Theory
Published: 2025-09-28
DOI: https://doi.org/10.7900/jot.2023aug30.2459
Primary Topic: Advanced Topics in Algebra
Type: article
Field-Weighted Citation Impact: 0.00

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article

Simplicity of Lp-graph algebras

Diego Montero, Guillermo Cortiñas⋆, María Eugenia Rodríguez

Sep 28, 2025

Journal of Operator Theory

Advanced Topics in Algebra

article

Simplicity of Lp-graph algebras

Diego Montero, Guillermo Cortiñas⋆, María Eugenia Rodríguez

September 28, 2025article en

Abstract

For each finite p⩾1 and each countable directed graph E we consider the Leavitt path C-algebra L(E) and the Lp-operator graph algebra Op(E). We show that the (purely infinite) simplicity of Op(E) as a Banach algebra is equivalent to the (purely infinite) simplicity of L(E) as a ring.

Journal of Operator TheoryVol. 94(1)

Openalex Percentile: Top 66%

Advanced Topics in Algebra

DOI Source OpenAlex

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