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arXiv · 2608.12662

Morita equivalence of graded C*-algebras

John Quigg·Efren Ruiz·Aidan Sims
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Abstract

We define two notions of Morita equivalence for graded C*-algebras (graded Morita equivalence and homogeneous Morita equivalence) and provide Brown-Green-Rieffel Stabilization Type Theorems for both notions of graded equivalence. We apply our results to finite regular graphs by establishing an explicit connection between graded C*-algebras and coactions. Lastly, we incorporate Cartan subalgebras with totally disconnected spectra and obtain Brown-Green-Rieffel Stabilization Type Theorems for these cases.

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John Quigg, Efren Ruiz, Aidan Sims. 2026-08-12. Morita equivalence of graded C*-algebras. https://arxiv.org/abs/2608.12662

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