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The Y-orbit breaking subalgebra is the subalgebra of C* (Z, X, h) generated by C (X) and all elements f u for f in C (X) such that f vanishes on Y. If intersects each orbit of h at most once, then the Y-orbit breaking subalgebra is large in C* (Z, X, h). Large "},"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":"1408.5546","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-08-24T03:19:43Z","cross_cats_sorted":[],"title_canon_sha256":"94e674eb3b55000b97ae2311ab02f73a8fbe9e7b711dd34730dc190d7fa78d64","abstract_canon_sha256":"0ecf59bc3abd5558ba7e547defc3468fa0d555bd2dedc3532b06354b10a6abee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:24.874846Z","signature_b64":"qZQOfW8q2md2OWwM2WUJwclBdOw8EGGIyBJDtU/H4hyjA2rE+RuRfGnIlRJOP//q6wTJZ06ROBrrH+7z1xLIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd88df227b1748d16b44890bc0cb1185305027b2eceb178cb3e130e37f0bed1b","last_reissued_at":"2026-05-18T02:44:24.874504Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:24.874504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large subalgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"N. Christopher Phillips","submitted_at":"2014-08-24T03:19:43Z","abstract_excerpt":"We define and study large and stably large subalgebras of simple unital C*-algebras. The basic example is the orbit breaking subalgebra of a crossed product by Z, as follows. Let X be an infinite compact metric space, let h be a minimal homeomorphism of X, and let Y be a closed subset of X. Let u be the standard unitary in C* (Z, X, h). The Y-orbit breaking subalgebra is the subalgebra of C* (Z, X, h) generated by C (X) and all elements f u for f in C (X) such that f vanishes on Y. If intersects each orbit of h at most once, then the Y-orbit breaking subalgebra is large in C* (Z, X, h). 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