ALGEBRAS OF SELF-SIMILAR ACTION OF GROUPOIDS ON ROW-FINITE DIRECTED GRAPHS
Bulletin of the Australian Mathematical Society
For amenable discrete groupoids and row-finite directed graphs E, let be a self-similar groupoid and let be the associated -algebra. We introduce a weaker faithfulness condition than those in the existing literature that still guarantees that embeds in. Under this faithfulness condition, we prove a gauge-invariant uniqueness theorem.
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