2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136472We exhibit a countably infinite family of simple, separable, nuclear, and mutually non-isomorphic C*-algebras which agree on K-theory and traces. The algebras do not absorb the Jiang-Su algebra Z tensorially, answering a question of N. C. Phillips. They are also pairwise shape and Morita equivalent. The distinguishing invariant is the radius of comparison, a non-stable invariant of the Cuntz semigroup.12 pages, to appear in Trans. AMSOperator AlgebrasK-Theory and Homology46L35; 46L80An infinite family of non-isomorphic C*-algebras with identical K-theorytext