AMPLIFIED GRAPH C*-ALGEBRAS II: RECONSTRUCTION
Proceedings of the American Mathematical Society, Series B
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.
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