{
  "abstract": "We observe that the canonical map \\(KK(A, \\prod_{n \\in \\mathbb{N}} B_n) \\to \\prod_{n \\in \\mathbb{N}} KK(A,B_n)\\) is an isomorphism of abelian groups whenever \\(A\\) enjoys the Universal Coefficient Theorem and \\(B_n\\) are unital, simple and purely infinite C*-algebras. This clarifies an aspect of previous work of Dadarlat--Eilers and Tikuisis--White--Winter.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.20181",
  "author_total": 1,
  "authors": [
    {
      "name": "Diego Martínez"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/47d2exb96bfyw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.20181",
  "fulltext_url": null,
  "id": "47d2exb96bfyw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.20181",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7165391075",
  "pdf_url": "https://arxiv.org/pdf/2606.20181",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/47d2exb96bfyw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2606.20181",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.20181"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "On the relation between the product of KK-groups and the KK-group of the product",
  "title_text": "On the relation between the product of KK-groups and the KK-group of the product",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/47d2exb96bfyw",
  "venue": "arXiv",
  "versions": []
}