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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 LK(E) together with its canonical grading.

Publication Date


  • 2022

Citation


  • Eilers, S., Ruiz, E., & Sims, A. (2022). AMPLIFIED GRAPH C*-ALGEBRAS II: RECONSTRUCTION. Proceedings of the American Mathematical Society, Series B, 9, 297-310. doi:10.1090/bproc/112

Scopus Eid


  • 2-s2.0-85135439534

Web Of Science Accession Number


Start Page


  • 297

End Page


  • 310

Volume


  • 9

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 LK(E) together with its canonical grading.

Publication Date


  • 2022

Citation


  • Eilers, S., Ruiz, E., & Sims, A. (2022). AMPLIFIED GRAPH C*-ALGEBRAS II: RECONSTRUCTION. Proceedings of the American Mathematical Society, Series B, 9, 297-310. doi:10.1090/bproc/112

Scopus Eid


  • 2-s2.0-85135439534

Web Of Science Accession Number


Start Page


  • 297

End Page


  • 310

Volume


  • 9