{"paper":{"title":"Rigidity questions for real half-classical manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Teodor Banica","submitted_at":"2017-06-09T01:08:53Z","abstract_excerpt":"Let $X$ be a noncommutative real compact algebraic manifold, in the sense that $C(X)=C^*(x_1,\\ldots,x_N|x_i=x_i^*,f_\\alpha(x_1,\\ldots,x_N)=0)$, with $f_\\alpha\\in\\mathbb R<x_1,\\ldots,x_N>$. Associated to $X$ are its classical version $X^\\times$, obtained via the relations $ab=ba$, and its half-classical version $X^*$, obtained via the relations $abc=cba$. We discuss here some general questions regarding the inclusions $X^\\times\\subset X^*\\subset X$, and notably the comparison of the corresponding quantum isometry groups. Our main results concern the half-classical case, $X=X^*$, and more specif"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02802","kind":"arxiv","version":6},"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"}