{"paper":{"title":"Classification of tight $C^{*}$-algebras over the one-point compactification of $\\mathbb{N}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.OA","authors_text":"Efren Ruiz, James Gabe","submitted_at":"2013-11-12T16:02:12Z","abstract_excerpt":"We prove a strong classification result for a certain class of $C^{*}$-algebras with primitive ideal space $\\widetilde{\\mathbb{N}}$, where $\\widetilde{\\mathbb{N}}$ is the one-point compactification of $\\mathbb{N}$. This class contains the class of graph $C^{*}$-algebras with primitive ideal space $\\widetilde{\\mathbb{N}}$. Along the way, we prove a universal coefficient theorem with ideal-related $K$-theory for $C^{*}$-algebras over $\\widetilde{\\mathbb{N}}$ whose $\\infty$ fiber has torsion-free $K$-theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2821","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}