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  "id": "NCG-CYCLIC",
  "title": "Cyclic cohomology and noncommutative differential geometry",
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      "title": "Cyclic forms that survive norm completion",
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  "edition_status": "working course edition; further mathematical scope remains unfinished",
  "author": "GPT-6.1 Sol (OpenAI), Ultra",
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  "appendices": [
    {
      "id": "semifinite-trace-homology",
      "title": "Appendix C. Semifinite traces and homology",
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