S. V. Ivanov
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On $*$-representations of algebras given by graphs
MFAT 13 (2007), no. 1, 17-27
*-algebras given by trees generated by projections with Temperley-Lieb type relations are considered in this work. Formulas of representations are built by algorithms for *-algebras, associated with the Dynkin diagrams, and we get estimates for the parameters at which non-trivial *-representations of the *-algebras exist.