{"paper":{"title":"Isomorphism Invariants for Multivariable C*-Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Elias G. Katsoulis, Evgenios T.A. Kakariadis","submitted_at":"2012-10-22T20:57:00Z","abstract_excerpt":"To a given multivariable C*-dynamical system $(A, \\al)$ consisting of *-automorphisms, we associate a family of operator algebras $\\alg(A, \\al)$, which includes as specific examples the tensor algebra and the semicrossed product. It is shown that if two such operator algebras $\\alg(A, \\al)$ and $\\alg(B, \\be)$ are isometrically isomorphic, then the induced dynamical systems $(\\hat{A}, \\hat{\\al})$ and $(\\hat{B}, \\hat{\\be})$ on the Fell spectra are piecewise conjugate, in the sense of Davidson and Katsoulis.\n  In the course of proving the above theorem we obtain several results of independent int"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6068","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"}