Markov traces and knot invariants related to Iwahori-Hecke algebras of   type B
  In this paper we classify all Markov traces on Iwahori-Hecke algebras associated with the finite Coxeter groups of type B. We then use these traces for constructing Jones-type invariants for oriented knots inside a solid torus, and finally we give skein-theoretical interpretations. 
Meinolf Geck and Sofia Lambropoulou