Factoriality of Hecke-von Neumann algebras of right-angled Coxeter groups

The Hecke algebra Cq[W] of a Coxeter group W, associated to parameter q, can be completed to a von Neumann algebra Nq(W). We study such algebras in case where W is right-angled. We determine the range of q for which Nq(W) is a factor, i.e. has trivial center. Moreover, in case of nontrivial center, we prove a result allowing to decompose Nq(W) into a finite direct sum of factors.