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Amplified graph C*-algebras II: reconstruction

Journal Article


Abstract


  • Let $E$ be a countable directed graph that is amplified in the sense that

    whenever there is an edge from $v$ to $w$, there are infinitely many edges from

    $v$ to $w$. We show that $E$ can be recovered from $C^*(E)$ together with its

    canonical gauge-action, and also from $L_K(E)$ together with its canonical

    grading.

Publication Date


  • 2020

Citation


  • Eilers, S., Ruiz, E., & Sims, A. (2020). Amplified graph C*-algebras II: reconstruction. Retrieved from http://arxiv.org/abs/2007.00853v1

Web Of Science Accession Number


Abstract


  • Let $E$ be a countable directed graph that is amplified in the sense that

    whenever there is an edge from $v$ to $w$, there are infinitely many edges from

    $v$ to $w$. We show that $E$ can be recovered from $C^*(E)$ together with its

    canonical gauge-action, and also from $L_K(E)$ together with its canonical

    grading.

Publication Date


  • 2020

Citation


  • Eilers, S., Ruiz, E., & Sims, A. (2020). Amplified graph C*-algebras II: reconstruction. Retrieved from http://arxiv.org/abs/2007.00853v1

Web Of Science Accession Number