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Cowling for SU(n,1) do not generalize to simple Lie groups of real rank at least 2."},"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":"1603.00209","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-03-01T10:05:13Z","cross_cats_sorted":[],"title_canon_sha256":"2950cb973a31879f83adb2a8a8281bb56788b3527eb253daf08d11e4ff74155c","abstract_canon_sha256":"f129058f0c0a6ca8aef723d6abcbee8a29739db9544dc1f0bd767582a4532a0d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:45.581615Z","signature_b64":"XnjoslxMqDZzVS4QKwwIKdZ03zoazVPaU2I8lv5MeB2dxNNqmdkuWg2MSnHrt9qBXKwhMgoyypeRB0OOunbdBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96af46a3ee7ecbfaa177eb18e97f1bba159258a86e81b6eb5f0d2d3c2147e45f","last_reissued_at":"2026-05-18T01:19:45.581003Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:45.581003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Group C*-algebras without the completely bounded approximation property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Uffe Haagerup","submitted_at":"2016-03-01T10:05:13Z","abstract_excerpt":"It is proved that:\n  (1) The Fourier algebra A(G) of a simple Lie group G of real rank at least 2 with finite center does not have a multiplier bounded approximate unit.\n  (2) The reduced C*-algebra of any lattice in a non-compact simple Lie group of real rank at least 2 with finite center does not have the completely bounded approximation property.\n  Hence, the results obtained by J. de Canniere and the author for SO(n,1), n at least 2, and by M. 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