{"paper":{"title":"Semicrossed products of the disc algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Elias G. Katsoulis, Kenneth R. Davidson","submitted_at":"2011-04-07T18:32:56Z","abstract_excerpt":"If $\\alpha$ is the endomorphism of the disk algebra, $\\AD$, induced by composition with a finite Blaschke product $b$, then the semicrossed product $\\AD\\times_{\\alpha} \\bZ^+$ imbeds canonically, completely isometrically into $\\rC(\\bT)\\times_{\\alpha} \\bZ^+$. Hence in the case of a non-constant Blaschke product $b$, the C*-envelope has the form $ \\rC(\\S_{b})\\times_{s} \\bZ$, where $(\\S_{b}, s)$ is the solenoid system for $(\\bT, b)$. In the case where $b$ is a constant, then the C*-envelope of $\\AD\\times_{\\alpha} \\bZ^+$ is strongly Morita equivalent to a crossed product of the form $ \\rC(\\S_{e})\\t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1398","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"}