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Combining this result and an explicit construction of equivariant bimodules, we show that $\\mathcal{A}_{\\theta} \\rtimes_A\\mathbb{Z}$ and $\\mathcal{A}_{\\theta'} \\rtimes_B"},"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":"1711.05055","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-11-14T10:56:08Z","cross_cats_sorted":[],"title_canon_sha256":"763f6fd6f33a78c963d5ad81a79a5e345935488946541536be05433eb095de63","abstract_canon_sha256":"5cba8c16fdf48854e2199375d10851240b627043f99a8c82a53cca86ff1ae46a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:07.957970Z","signature_b64":"LlILfuUeWFf6lo3bv5NXFTOc21n5RKrN/9DTXoItZqO8zeAR1wEvHcwGV43w+2VcqqX2b9vpMSAJnzde77ufCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"682922a8b2dcd145be6fcf9a5b89d31d9694beb57c7541d3d9b49890b20b1c6a","last_reissued_at":"2026-05-18T00:29:07.957273Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:07.957273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of $SL_2(\\mathbb{Z})$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Christian B\\\"onicke, Hung-Chang Liao, Sayan Chakraborty, Zhuofeng He","submitted_at":"2017-11-14T10:56:08Z","abstract_excerpt":"Let $\\theta, \\theta'$ be irrational numbers and $A, B$ be matrices in $SL_2(\\mathbb{Z})$ of infinite order. 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