{"paper":{"title":"Algebras of Toeplitz operators on the $n$-dimensional unit ball","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Nikolai Vasilevski, Raffael Hagger, Wolfram Bauer","submitted_at":"2018-08-30T16:00:25Z","abstract_excerpt":"We study $C^*$-algebras generated by Toeplitz operators acting on the standard weighted Bergman space $\\mathcal{A}_{\\lambda}^2(\\mathbb{B}^n)$ over the unit ball $\\mathbb{B}^n$ in $\\mathbb{C}^n$. The symbols $f_{ac}$ of generating operators are assumed to be of a certain product type. By choosing $a$ and $c$ in different function algebras $\\mathcal{S}_a$ and $\\mathcal{S}_c$ over lower dimensional unit balls $\\mathbb{B}^{\\ell}$ and $\\mathbb{B}^{n-\\ell}$, respectively, and by assuming the invariance of $a\\in \\mathcal{S}_a$ under some torus action we obtain $C^*$-algebras $\\boldsymbol{\\mathcal{T}}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.10372","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"}