On freely generated semigraph C *-algebras

Abstract

Abstract For special universal C*-algebras associated to k-semigraphs we present the universal representations of these algebras, prove a Cuntz–Krieger uniqueness theorem, and compute the K-theory. These C*-algebras seem to be the most universal Cuntz–Krieger like algebras naturally associated to k-semigraphs. For instance, the Toeplitz Cuntz algebra is a proper quotient of such an algebra.