@book{BHV,
  author    = {Bekka, Bachir and de la Harpe, Pierre and Valette, Alain},
  title     = {Kazhdan's Property {(T)}},
  series    = {New Mathematical Monographs},
  volume    = {11},
  publisher = {Cambridge University Press},
  address   = {Cambridge},
  year      = {2008},
  note      = {Numbered locators refer to the author manuscript dated February 23, 2007},
  doi       = {10.1017/CBO9780511542749},
  url       = {https://perso.univ-rennes1.fr/bachir.bekka/KazhdanTotal.pdf}
}

@book{Blackadar,
  author    = {Blackadar, Bruce},
  title     = {{K}-Theory for Operator Algebras},
  edition   = {2},
  series    = {Mathematical Sciences Research Institute Publications},
  volume    = {5},
  publisher = {Cambridge University Press},
  address   = {Cambridge},
  year      = {1998},
  doi       = {10.1017/9781009701907},
  url       = {https://bruceblackadar.com/Mathematics/book6.pdf}
}

@book{Khalkhali,
  author    = {Khalkhali, Masoud},
  title     = {Basic Noncommutative Geometry},
  series    = {EMS Series of Lectures in Mathematics},
  publisher = {European Mathematical Society},
  address   = {Z{\"u}rich},
  year      = {2009},
  doi       = {10.4171/061},
  url       = {https://www.math.uwo.ca/faculty/khalkhali/files/BNCG_1sted.pdf}
}

@book{WY,
  author    = {Willett, Rufus and Yu, Guoliang},
  title     = {Higher Index Theory},
  series    = {Cambridge Studies in Advanced Mathematics},
  volume    = {189},
  publisher = {Cambridge University Press},
  address   = {Cambridge},
  year      = {2020},
  note      = {Numbered locators refer to the author draft dated December 9, 2019, at \url{https://math.hawaii.edu/~rufus/higherindextheory}},
  doi       = {10.1017/9781108867351},
  url       = {https://doi.org/10.1017/9781108867351}
}

@article{Kazhdan,
  author  = {Kazhdan, D. A.},
  title   = {Connection of the dual space of a group with the structure of its close subgroups},
  journal = {Functional Analysis and Its Applications},
  volume  = {1},
  number  = {1},
  pages   = {63--65},
  year    = {1967},
  doi     = {10.1007/BF01075866},
  url     = {https://www.mathnet.ru/eng/faa2807}
}

@misc{WYerrata,
  author = {Willett, Rufus and Yu, Guoliang},
  title  = {Errata to ``{Higher Index Theory}''},
  year   = {2025},
  note   = {December 8, 2025. \url{https://math.hawaii.edu/~rufus/Errata.pdf}}
}

@article{DFW,
  author  = {Dranishnikov, A. N. and Ferry, Steven C. and Weinberger, Shmuel},
  title   = {Large {Riemannian} manifolds which are flexible},
  journal = {Annals of Mathematics},
  series  = {2},
  volume  = {157},
  number  = {3},
  pages   = {919--938},
  year    = {2003},
  doi     = {10.4007/annals.2003.157.919},
  url     = {https://annals.math.princeton.edu/wp-content/uploads/annals-v157-n3-p06.pdf}
}

@article{HLS,
  author  = {Higson, Nigel and Lafforgue, Vincent and Skandalis, Georges},
  title   = {Counterexamples to the {Baum--Connes} conjecture},
  journal = {Geometric and Functional Analysis},
  volume  = {12},
  number  = {2},
  pages   = {330--354},
  year    = {2002},
  doi     = {10.1007/s00039-002-8249-5},
  url     = {https://vlafforg.perso.math.cnrs.fr/files/counterex.pdf}
}

@book{Roe93,
  author = {Roe, John},
  title = {Coarse Cohomology and Index Theory on Complete Riemannian Manifolds},
  series = {Memoirs of the American Mathematical Society},
  volume = {104},
  note = {Number 497},
  publisher = {American Mathematical Society},
  address = {Providence, RI},
  year = {1993},
  doi = {10.1090/memo/0497}
}


@incollection{HR95,
  author = {Higson, Nigel and Roe, John},
  title = {On the coarse {Baum--Connes} conjecture},
  booktitle = {Novikov Conjectures, Index Theorems and Rigidity, Vol. 2},
  editor = {Ferry, Steven C. and Ranicki, Andrew and Rosenberg, Jonathan},
  series = {London Mathematical Society Lecture Note Series},
  volume = {227},
  publisher = {Cambridge University Press},
  address = {Cambridge},
  pages = {227--254},
  year = {1995},
  doi = {10.1017/CBO9780511629365.008}
}


@article{Yu98,
  author = {Yu, Guoliang},
  title = {The {Novikov} conjecture for groups with finite asymptotic dimension},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {147},
  number = {2},
  pages = {325--355},
  year = {1998},
  doi = {10.2307/121011}
}


@article{Yu00,
  author = {Yu, Guoliang},
  title = {The coarse {Baum--Connes} conjecture for spaces which admit a uniform embedding into {Hilbert} space},
  journal = {Inventiones Mathematicae},
  volume = {139},
  number = {1},
  pages = {201--240},
  year = {2000},
  doi = {10.1007/s002229900032}
}


@article{STY02,
  author = {Skandalis, Georges and Tu, Jean-Louis and Yu, Guoliang},
  title = {The coarse {Baum--Connes} conjecture and groupoids},
  journal = {Topology},
  volume = {41},
  number = {4},
  pages = {807--834},
  year = {2002},
  doi = {10.1016/S0040-9383(01)00004-0}
}


@article{WY12I,
  author = {Willett, Rufus and Yu, Guoliang},
  title = {Higher index theory for certain expanders and {Gromov} monster groups, {I}},
  journal = {Advances in Mathematics},
  volume = {229},
  number = {3},
  pages = {1380--1416},
  year = {2012},
  doi = {10.1016/j.aim.2011.10.024},
  note = {Theorem numbering follows the author version at \url{https://math.hawaii.edu/~rufus/expgirth1.pdf}},
  url = {https://math.hawaii.edu/~rufus/expgirth1.pdf}
}


@article{KY06,
  author = {Kasparov, Gennadi and Yu, Guoliang},
  title = {The coarse geometric {Novikov} conjecture and uniform convexity},
  journal = {Advances in Mathematics},
  volume = {206},
  number = {1},
  pages = {1--56},
  year = {2006},
  doi = {10.1016/j.aim.2005.08.004}
}


@article{FS14,
  author = {Finn-Sell, Martin},
  title = {Fibred coarse embeddings, a-{T}-menability and the coarse analogue of the {Novikov} conjecture},
  journal = {Journal of Functional Analysis},
  volume = {267},
  number = {10},
  pages = {3758--3782},
  year = {2014},
  doi = {10.1016/j.jfa.2014.09.012},
  url = {https://arxiv.org/abs/1304.3348}
}


@article{DWY23,
  author = {Deng, Jintao and Wang, Qin and Yu, Guoliang},
  title = {The coarse {Baum--Connes} conjecture for certain relative expanders},
  journal = {Advances in Mathematics},
  volume = {424},
  pages = {109047},
  year = {2023},
  doi = {10.1016/j.aim.2023.109047},
  url = {https://arxiv.org/abs/2102.10617}
}

@misc{OpenAITorsionFreeBC2026,
  author = {{OpenAI}},
  title = {{A torsion-free counterexample to reduced Baum--Connes injectivity}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-Torsion-Free-Counterexample-to-Reduced-Baum-Connes-Injectivity-September-23-2026/paper.pdf}{OAI:A-Torsion-Free-Counterexample-to-Reduced-Baum-Connes-Injectivity-September-23-2026}},
  year = {2026}
}