On projections with Temperley-Lieb relations
Abstract:
With simple connected graph we associate *-algebra. It is generated
by projections with relations of orhogonality or Temperley-Lieb type. We
study set of values of parameter for which algebra associated to tree has
*-representations. Also we construct the embedding of algebra associated
to cycle in algebra of n*n matrices with elements from ring of Laurent
polynomials on circle.