{"id":19,"date":"2023-09-17T13:49:33","date_gmt":"2023-09-17T17:49:33","guid":{"rendered":"https:\/\/sites.miamioh.edu\/calebeckhardt\/?page_id=19"},"modified":"2026-04-10T15:11:11","modified_gmt":"2026-04-10T19:11:11","slug":"publications","status":"publish","type":"page","link":"https:\/\/sites.miamioh.edu\/calebeckhardt\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n

All of these except my dissertation are available on arxiv<\/a><\/p>\n\n\n\n

    \n
  1. Local structure of nuclear C*-algebras, Dissertation at University of Illinois, Urbana-Champaign, 2009<\/li>\n\n\n\n
  2. On OL-infinity structure of nuclear, quasidiagonal C*-algebras. J. Funct. Anal.<\/em> 258 (2010), no. 1, 1-19.<\/li>\n\n\n\n
  3. Perturbations of completely positive maps and strong NF algebras. Proc. Lond. Math. Soc.<\/em> (3) 101 (2010), no. 3, 795-820.<\/li>\n\n\n\n
  4. A Noncommutative Gauss Map, Math. Scand.<\/em> 108 (2011), no. 2, 233-250.<\/li>\n\n\n\n
  5. Free Products and the Lack of State Preserving Approximations of Nuclear C*-algebras, Proc. Amer. Math. Soc.<\/em> 141 (2013), no. 8, 2719-2727.<\/li>\n\n\n\n
  6. (w\/ I. Farah, A. Toms and A. Tornquist) Appendix to The Descriptive Set Theory of C*-algebra invariants, I.M.R.N.<\/em> (2013), no. 22, 5196\u20135226<\/li>\n\n\n\n
  7. (w\/ J. Carrion and M. Dadarlat) On Groups with Quasidiagonal C*-algebras. J. Funct. Anal.<\/em> 265 (2013), no. 1, 135-152.<\/li>\n\n\n\n
  8. Quasidiagonal Representations of Nilpotent Groups. Adv. Math<\/em> 254 (2014) 15-32.<\/li>\n\n\n\n
  9. A Note on strongly quasidiagonal groups. J. Operator Theory<\/em> 73:2(2015), 417-424<\/li>\n\n\n\n
  10. (w\/ C. Kleski and P. McKenney) Classification of C*-algebras generated by representations of the unitriangular group UT(4,Z), J. Funct. Anal.<\/em> 271 (2016), no. 4, 1022-1042<\/li>\n\n\n\n
  11. (w\/ E. Gillaspy) Irreducible representations of nilpotent groups generate classifiable C*-algebras, M\u00fcnster J. Math<\/em>. 9 (2016), no. 1, 253-261<\/li>\n\n\n\n
  12. (w\/ P. McKenney) Finitely generated nilpotent group C*-algebras have finite nuclear dimension, J. Reine Angew. Math.<\/em> 738 (2018), 281-298.<\/li>\n\n\n\n
  13. Free Groups and Quasidiagonality, Houston J. Math.<\/em> 44 (2018), no. 4, 1241\u20131267.<\/li>\n\n\n\n
  14. (w\/ S. Raum) C*-superrigidity of 2-step nilpotent groups, Adv. Math.<\/em> 338 (2018), 175\u2013195.<\/li>\n\n\n\n
  15. (w\/ E. Gillaspy and P. McKenney) Finite Decomposition Rank for Virtually Nilpotent Groups, Trans. Amer. Math. Soc.<\/em> 371 (2019), no. 6, 3971\u20133994.<\/li>\n\n\n\n
  16. Appendix to A tracially AF-algebra that is not Z-absorbing by Zhuang Niu and Qingyun Wang, M\u00fcnster J. Math.<\/em> 14(2021), no.1, 41\u201357.<\/li>\n\n\n\n
  17. (w\/ K. Fieldhouse, D. Gent, E. Gillaspy, I. Gonzales and D. Pask) Moves on k-graphs preserving Morita equivalence, Canad. J. Math.<\/em> 74 (2022), no. 3, 655\u2013685.<\/li>\n\n\n\n
  18. (w\/ T. Shulman) On amenable Hilbert-Schmidt stable groups, J. Funct. Anal.<\/em> 285 (2023), no. 3, Paper No. 109954, 31 pp.<\/li>\n\n\n\n
  19. C*-algebras generated by representations of virtually nilpotent groups, Adv.Math. 444 (2024), Paper No. 109628.<\/li>\n\n\n\n
  20. (w\/ J. Wu) Nuclear dimension and virtually polycyclic groups, Adv. Math. 488 (2026), Paper No. 110768<\/li>\n\n\n\n
  21. Residually finite groups that are not Hilbert-Schmidt stable, accepted to Groups, Geometry and Dynamics<\/li>\n\n\n\n
  22. Corrigendum to Number 10 on this list, accepted to JFA.<\/li>\n<\/ol>\n\n\n\n

    <\/p>\n\n\n","protected":false},"excerpt":{"rendered":"

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