{"paper":{"title":"The Partial-Isometric Crossed Products by Semigroups of Endomorphisms as Full Corners","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Saeid Zahmatkesh, Sriwulan Adji","submitted_at":"2013-09-10T02:47:50Z","abstract_excerpt":"Suppose $\\Gamma^{+}$ is the positive cone of a totally ordered abelian group $\\Gamma$, and $(A,\\Gamma^{+},\\alpha)$ is a system consisting of a $C^*$-algebra $A$, an action $\\alpha$ of $\\Gamma^{+}$ by extendible endomorphisms of $A$. We prove that the partial-isometric crossed product $A\\times_{\\alpha}^{\\piso}\\Gamma^{+}$ is a full corner in the subalgebra of $\\L(\\ell^{2}(\\Gamma^{+},A))$, and that if $\\alpha$ is an action by automorphisms of $A$, then it is the isometric-crossed product $(B_{\\Gamma^{+}}\\otimes A)\\times^{\\iso}\\Gamma^{+}$, which is therefore a full corner in the usual crossed prod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2363","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"}