2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102232We construct a simple, unital AH algebra which is shape equivalent to its tensor product with any infinite-dimensional UHF algebra, has the same tracial simplex as the said tensor product, and yet is not isomorphic to it. An analogous result for automorphisms is also proved.15 pages; minor revisions; version to appear in Ann. of Math. (2)Operator AlgebrasK-Theory and Homology46L35; 46L80text