2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152305This paper studies direct limits of full upper triangular matrix algebras with embeddings which are not *-extendible. A representation of the limit algebra is found so that the generated C*-algebra is the C*-envelope. Some examples are described.12 pages AMS-TEX Version 2.1Functional AnalysisOperator Algebrastext