Classifying right-angled Hecke C*-algebras via K-theoretic invariants

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