{"paper":{"title":"Borel complexity and automorphisms of C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"David Kerr, Martino Lupini, N. Christopher Phillips","submitted_at":"2014-04-14T13:13:35Z","abstract_excerpt":"We show that if $A$ is $\\mathcal{Z}$, $\\mathcal{O}_2$, $\\mathcal{O}_{\\infty}$, a UHF algebra of infinite type, or the tensor product of a UHF algebra of infinite type and $\\mathcal{O}_{\\infty}$, then the conjugation action $\\mathrm{Aut}(A) \\curvearrowright \\mathrm{Aut}(A)$ is generically turbulent for the point-norm topology. We moreover prove that if $A$ is either (i) a separable C*-algebra which is stable under tensoring with $\\mathcal{Z}$ or $\\mathcal{K}$, or (ii) a separable ${\\mathrm{II}}_1$ factor which is McDuff or a free product of ${\\mathrm{II}}_1$ factors, then the approximately inne"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3568","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"}