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For every such minimal dynamical system (S^n, \\beta) there is a Cantor minimal system (X, \\alpha) such that the corresponding product system (X x S^n, \\alpha x \\beta) is minimal and the resulting crossed product C*-algebra C(X x S^n) \\rtimes_{\\alpha x \\beta} \\mathbb{Z} is tracially approximately an interval algebra (TAI). This entails classification for such C*-algebras. Moreover, the minimal Cantor system (X, \\alpha) is such that each t"},"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":"1403.3136","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-03-13T00:01:39Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"74afc4449714d1da3fcc16f49b93c68685a01693eb158596dbb60db0b3321c5a","abstract_canon_sha256":"b133fc930590a6cf5d6de236a768ff5390fc3fa9f7abcb6e1feba1efb3cd24db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:55.585977Z","signature_b64":"vhk2ri2s05AomF3Ae2i3QSqecDltEIB2Qzm4tqvuw3+h9TlHdj/9vTQ/UFSbCh6l75cVMtXJnuoQvVRIGoVmCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61e2d845c37019c49e9dbc50b4b465d20c5b4a548b1252677a5b0d6282c727ff","last_reissued_at":"2026-05-18T02:39:55.585579Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:55.585579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"C*-algebras of minimal dynamical systems of the product of a Cantor set and an odd dimensional sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.OA","authors_text":"Karen R. Strung","submitted_at":"2014-03-13T00:01:39Z","abstract_excerpt":"Let \\beta : S^n \\to S^n, for n = 2k + 1, k \\geq 1, be one of the known examples of a non-uniquely ergodic minimal diffeomorphism of an odd dimensional sphere. For every such minimal dynamical system (S^n, \\beta) there is a Cantor minimal system (X, \\alpha) such that the corresponding product system (X x S^n, \\alpha x \\beta) is minimal and the resulting crossed product C*-algebra C(X x S^n) \\rtimes_{\\alpha x \\beta} \\mathbb{Z} is tracially approximately an interval algebra (TAI). This entails classification for such C*-algebras. 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