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Under the assumption that $(W, S)$ is irreducible and $\\vert S \\vert \\geq 3$ it was proved by Garncarek that $\\mathcal{M}_q$ is a factor (of type II$_1$) for a range $q \\in [\\rho, \\rho^{-1}]$ and otherwise $\\mathcal{M}_q$ is the direct sum of a II$_1$-factor and $\\mathbb{C}$.\n  In this paper we prov"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1601.00593","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-01-04T18:03:33Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"aa8d8d82bfe3fbfa157699b7d2f8b529fbf5eeae9bd62135849bd0850c61ea50","abstract_canon_sha256":"cab11ef3c811ce63b12f36b141bf1dc4d86a9f2b11351e08b1b941d0fa8b61ae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:29:55.111974Z","signature_b64":"0v0Nhy+KbY2SVspa3PCvIokh1U0shmDBPeyqeWt6rQca4Wi67Ri6olPoTWrR0ukjt3E/K2jXByIe+sZ1MY/iDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f401dc6e12bc88f769a6b0ca6f8477e0335db2b7492bbf61442fe709972639d4","last_reissued_at":"2026-07-05T00:29:55.111553Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:29:55.111553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Martijn Caspers","submitted_at":"2016-01-04T18:03:33Z","abstract_excerpt":"For a right-angled Coxeter system $(W,S)$ and $q>0$, let $\\mathcal{M}_q$ be the associated Hecke von Neumann algebra, which is generated by self-adjoint operators $T_s, s \\in S$ satisfying the Hecke relation $(\\sqrt{q}\\: T_s - q) (\\sqrt{q} \\: T_s + 1) = 0$ as well as suitable commutation relations. 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