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Further we describe an ideal in $Isom_{q_{ij}}$ which is isomorphic to the algebra of compact operators."},"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":"1704.02649","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.QA","submitted_at":"2017-04-09T19:36:15Z","cross_cats_sorted":[],"title_canon_sha256":"6a51003c3d9d6626dbb94074e6917ca0e3311febc887099481804fc094e82891","abstract_canon_sha256":"452e0fbfae53450777a64eef37fe2d89483a5c0303a0bd6c15694e6e72680a54"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:35.053329Z","signature_b64":"icmkD79Sw8bS494yq5qeTSoPz1owhisgwNbPzKhWKvhXhhyHSd5RYeAmykUUKJLW17rr/nQzY36VNt1qZkJwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"860ec436c0cfdf0eb2141869479bdce2ee4510e21e7723e598475bcbedd2ef7f","last_reissued_at":"2026-05-18T00:43:35.052803Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:35.052803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Faithfulness of the Fock representation of $C^*$-algebra generated by $q_{ij}$-commuting isometries","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Alexey Kuzmin, Nikolay Pochekai","submitted_at":"2017-04-09T19:36:15Z","abstract_excerpt":"We consider $C^*$-algebra $Isom_{q_{ij}}$ generated by $n$ isometries $a_1, \\ldots, a_n$ satisfying the relations $a_i^* a_j = q_{ij} a_j a_i^*$ with $\\max |q_{ij}| < 1$. 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