{"paper":{"title":"A universal coefficient theorem for twisted K-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.AT","authors_text":"Mehdi Khorami","submitted_at":"2010-01-26T21:50:57Z","abstract_excerpt":"In this paper, we recall the definition of twisted K-theory in various settings. We prove that for a twist $\\tau$ corresponding to a three dimensional integral cohomology class of a space X, there exist a \"universal coefficient\" isomorphism K_{*}^{\\tau}(X)\\cong K_{*}(P_{\\tau})\\otimes_{K_{*}(\\mathbb{C}P^{\\infty})} \\hat{K}_{*} where $P_\\tau$ is the total space of the principal $\\mathbb{C}P^{\\infty}$-bundle induced over X by $\\tau$ and $\\hat K_*$ is obtained form the action of $\\mathbb{C}P^{\\infty}$ on K-theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.4790","kind":"arxiv","version":2},"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"}