{"paper":{"title":"The partial-isometric crossed products by semigroups of endomorphisms are Morita equivalent to crossed products by groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Saeid Zahmatkesh","submitted_at":"2017-10-18T12:55:24Z","abstract_excerpt":"Let $\\Gamma^{+}$ be the positive cone of a totally ordered abelian discrete group $\\Gamma$, and $\\alpha$ an action of $\\Gamma^{+}$ by extendible endomorphisms of a $C^*$-algebra $A$. We prove that the partial-isometric crossed product $A\\times_{\\alpha}^{\\textrm{piso}}\\Gamma^{+}$ is a full corner of a group crossed product $\\mathcal{B}\\times_{\\beta}\\Gamma$, where $\\mathcal{B}$ is a subalgebra of $\\ell^{\\infty}(\\Gamma,A)$ generated by a collection of faithful copies of $A$, and the action $\\beta$ on $\\mathcal{B}$ is induced by shift on $\\ell^{\\infty}(\\Gamma,A)$. We then use this realization to s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06708","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"}