Abstract
We give a concrete formula for the unique faithful trace on the finite simple non-AF labeled graph [Formula: see text]-algebra [Formula: see text] associated to the Thue–Morse sequence [Formula: see text]. Our result provides an alternative proof of the existence of a labeled graph [Formula: see text]-algebra that is not Morita equivalent to any graph [Formula: see text]-algebras. Furthermore, we compute the [Formula: see text]-groups of [Formula: see text] using the path structure of the Thue–Morse sequence.
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