{"paper":{"title":"KMS quantum symmetric states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Ken Dykema, Kunal Mukherjee","submitted_at":"2016-09-05T17:19:47Z","abstract_excerpt":"Let $A$ be a unital C$^*$-algebra and let $\\sigma$ be a one-parameter automorphism group of $A$. We consider $\\operatorname{QSS}_\\sigma(A)$, the set of all quantum symmetric states on $*_1^\\infty A$ that are also KMS states (for a fixed inverse temperature, for specificity taken to be $-1$) for the free product automorphism group $*_1^\\infty\\sigma$. We characterize the elements of $\\operatorname{QSS}_\\sigma(A)$, we show that $\\operatorname{QSS}_\\sigma(A)$ is a Choquet simplex whenever it is nonempty and we characterize its extreme points."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01225","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"}