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This answers a question of Ozawa.\n  We prove that Exel's soft tori have the LP. As a consequence we obtain that $C^*(F_n\\times F_n)$ is inductive limit of RFD C*-algebras with the LP.\n  We prove that for a class of C*-algebras including $C^*(F_n\\times F_n)$, all contractibl"},"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":"2403.12224","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2024-03-18T20:11:54Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"678f646df230ce2483c4c5a571f8de9629fcbb41efb02c7231d6573f1e866a24","abstract_canon_sha256":"cd6f2e21ef64434cbcff0bb05391f59896ec3c1141cea73c4fd99fa0ce59dadc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:04:52.993981Z","signature_b64":"itB/mn+nt0qjvyGFdelzUS+VQurRSbLVDHTQNyqqsKvi/rIZMF1LL79GFc6bITUuAG9Y1NO5MKL97yAGK4oXDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"869e47fe044845f6a23bf4bc55dec055a692300b8a0b6b0c5505c449474df03c","last_reissued_at":"2026-05-22T01:04:52.993066Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:04:52.993066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the (Local) Lifting Property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Dominic Enders, Tatiana Shulman","submitted_at":"2024-03-18T20:11:54Z","abstract_excerpt":"The (Local) Lifting Property ((L)LP) is introduced by Kirchberg and deals with lifting completely positive maps. 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