Traces on diagram algebras I: Free partition quantum groups, random lattice paths and random walks on trees
Traces on diagram algebras I: Free partition quantum groups, random lattice paths and random walks on trees
We classify extremal traces on the seven direct limit algebras of noncrossing partitions arising from the classification of free partition quantum groups of Banicaā€“Speicher [5] and Weber [42]. For the infinite-dimensional Temperleyā€“Lieb algebra (corresponding to the quantum group O N + $O^+_N$ ) and the Motzkin algebra ( B N ā€¦