{"paper":{"title":"On the K-theory of C*-algebras arising from integral dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Nicolai Stammeier, Sel\\c{c}uk Barlak, Tron Omland","submitted_at":"2015-12-14T20:02:02Z","abstract_excerpt":"We investigate the $K$-theory of unital UCT Kirchberg algebras $\\mathcal{Q}_S$ arising from families $S$ of relatively prime numbers. It is shown that $K_*(\\mathcal{Q}_S)$ is the direct sum of a free abelian group and a torsion group, each of which is realized by another distinct $C^*$-algebra naturally associated to $S$. The $C^*$-algebra representing the torsion part is identified with a natural subalgebra $\\mathcal{A}_S$ of $\\mathcal{Q}_S$. For the $K$-theory of $\\mathcal{Q}_S$, the cardinality of $S$ determines the free part and is also relevant for the torsion part, for which the greatest"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04496","kind":"arxiv","version":3},"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"}