2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77065We show that the Kauffman bracket skein module of a cylinder over the torus embeds as a subalgebra of the noncommutative torus. Using this we derive nice formulas for the Jones-Wenzl idempotents and analyze the structure of the Kauffman bracket skein module of the unknot as a module over the Kauffman bracket skein module of a cylinder over the torus.13 pages, 5 figures, LatexQuantum AlgebraGeometric TopologyOperator Algebras46L87,57M99text