  Exploiting the graph product structure and results concerning amalgamated
free products of C*-algebras we provide an explicit computation of the
K-theoretic invariants of right-angled Hecke C*-algebras, including concrete
algebraic representants of a basis in K-theory. On the way, we show that these
Hecke algebras are KK-equivalent with their undeformed counterparts and satisfy
the UCT. Our results are applied to study the isomorphism problem for Hecke
C*-algebras, highlighting the limits of K-theoretic classification, both for
varying Coxeter type as well as for fixed Coxeter type.
