@book{Luck2002,
  author = {Wolfgang L{\"u}ck},
  title = {{$L^2$-Invariants: Theory and Applications to Geometry and $K$-Theory}},
  series = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge},
  volume = {44},
  publisher = {Springer},
  year = {2002},
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}

@article{ElekSzabo2005,
  author = {G{\'a}bor Elek and Endre Szab{\'o}},
  title = {Hyperlinearity, essentially free actions and {$L^2$}-invariants.
           {The} sofic property},
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}

@article{FK1952,
  author = {Bent Fuglede and Richard V. Kadison},
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}

@misc{CharacteristicTwo,
  author = {{OpenAI}},
  title = {{A Counterexample to Kaplansky's Direct-Finiteness Conjecture in Characteristic Two}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-Counterexample-to-Kaplanskys-Direct-Finiteness-Conjecture-in-Characteristic-Two-September-23-2026/paper.pdf}{OAI:A-Counterexample-to-Kaplanskys-Direct-Finiteness-Conjecture-in-Characteristic-Two-September-23-2026}},
  year = {2026},
  note = {Theorem 1.1 and Section 6}
}

@misc{Kammeyer2026,
  author = {Holger Kammeyer},
  title = {A counterexample to the determinant approximation conjecture},
  year = {2026},
  eprint = {2609.15567},
  howpublished = {\href{https://arxiv.org/abs/2609.15567v1}{arXiv:2609.15567v1}},
  archivePrefix = {arXiv},
  primaryClass = {math.GR},
  note = {Version 1, September 14, 2026},
  url = {https://arxiv.org/abs/2609.15567v1}
}

@article{DicksSchick2002,
  author = {Warren Dicks and Thomas Schick},
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  pages = {121--137},
  year = {2002},
  doi = {10.1023/A:1020381532489},
  eprint = {math/0107145},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/math/0107145}
}

@article{LehnerNeuhauserWoess2008,
  author = {Franz Lehner and Markus Neuhauser and Wolfgang Woess},
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  number = {1},
  pages = {69--89},
  year = {2008},
  doi = {10.1007/s00208-008-0222-7},
  eprint = {0712.3135},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/0712.3135}
}

@article{deLaHarpeSkandalis1984,
  author = {de la Harpe, Pierre and Skandalis, Georges},
  title = {D\'eterminant associ\'e \`a une trace sur une alg\`ebre de {Banach}},
  journal = {Annales de l'Institut Fourier},
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  number = {1},
  pages = {241--260},
  year = {1984},
  doi = {10.5802/aif.958},
  url = {https://www.numdam.org/articles/10.5802/aif.958/}
}

@article{Schick2001,
  author = {Thomas Schick},
  title = {{$L^2$}-determinant class and approximation of {$L^2$}-{Betti} numbers},
  journal = {Transactions of the American Mathematical Society},
  volume = {353},
  number = {8},
  pages = {3247--3265},
  year = {2001},
  doi = {10.1090/S0002-9947-01-02699-X},
  eprint = {math/9807032},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/math/9807032v2},
  note = {With the appended erratum in
          \href{https://arxiv.org/abs/math/9807032v2}{arXiv:math/9807032v2}}
}