The canonical filtration of a right-angled Iwahori-Hecke algebra satisfies the Ozawa-Rieffel Haagerup condition iff the graph of commuting generators has no induced square, yielding compact quantum metric spaces and propinquity continuity at q=1.
Avitzour, Free products of C∗-algebras, Trans
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Quantum Metric Structures on Iwahori-Hecke Algebras
The canonical filtration of a right-angled Iwahori-Hecke algebra satisfies the Ozawa-Rieffel Haagerup condition iff the graph of commuting generators has no induced square, yielding compact quantum metric spaces and propinquity continuity at q=1.