Home Research CV

Preprints

  1. N. Brownlowe And D. Robertson, Tubular partitions and representations of the quantum automorphism group of a homogeneous rooted tree, preprint, 2025, arXiv:2509.22201 [math.OA].


Publications

  1. Z. Afsar, N. Brownlowe, J. Ramagge and M.F. Whittaker, C*-algebras of self-similar actions of groupoids on higher-rank graphs and their equilibrium states, J. Operator Theory, to appear.
  2. N. Brownlowe, A. Sims and D.P. Williams, Iain Raeburn 1949–2023 colleague, mentor and friend, J. Aust. Math. Soc. 119 (2025), 265–273.
  3. N. Brownlowe, A. Kumjian, D. Pask and A. Sims, Embeddability of higher-rank graphs in groupoids, and the structure of their C*-algebras, J. Aust. Math. Soc. 119 (2025), 314–346.
  4. N. Brownlowe, J Spielberg, A. Thomas and V. Wu, Group actions on multitrees and the K-theory of their crossed products, Trans. Amer. Math. Soc. 378 (2025), 1697–1732.
  5. N. Brownlowe and D. Robertson, Self-similar quantum groups, J. Noncommut. Geom. 19 (2025), 269–296.
  6. N. Brownlowe, A. Buss, D. Gonçalves, J.B. Hume, A. Sims and M.F. Whittaker, KK-duality for self-similar groupoid actions on graphs, Trans. Amer. Math. Soc. 377 (2024), 5513–5560.
  7. B. Armstrong, N. Brownlowe and A. Sims, Simplicity of twisted C*-algebras of Deaconu–Renault groupoids, J. Noncommut. Geom. 18 (2024), 265–312.
  8. N. Brownlowe, N.S. Larsen, J. Ramagge, and N. Stammeier, C*-algebras of right LCM monoids and their equilibrium states, Trans. Amer. Math. Soc. 373 (2020), 5235–5273.
  9. N. Brownlowe, M. Laca, D. Robertson, and A. Sims, Reconstructing directed graphs from generalised gauge actions on their Toeplitz algebras, Proc. Roy. Soc. Edinburgh Sect. A, to appear.
  10. Z. Afsar, N. Brownlowe, N.S. Larsen, and N. Stammeier, Equilibrium states on right LCM semigroup C*-algebras, Int. Math. Res. Not. IMRN (2019), 1642–1698.
  11. N. Brownlowe, M. Hawkins, and A. Sims, The Toeplitz noncommutative solenoid and its KMS states, Ergodic Theory Dynam. Systems 39 (2019), 105–131.
  12. N. Brownlowe, N.S. Larsen, and N. Stammeier, C*-algebras of algebraic dynamical systems and right LCM semigroups, Indiana Univ. Math. J.67 (2018), 2453–2486.
  13. B. Armstrong and N. Brownlowe, Product-system models for twisted C*-algebras of topological higher-rank graphs, J. Math. Anal. Appl. 466 (2018), 1443–1475.
  14. N. Brownlowe, A. Mundey, D. Pask, J. Spielberg, and A. Thomas, C*-algebras associated to graphs of groups, Adv. Math. 316 (2017), 114–186.
  15. N. Brownlowe, D. Pask, J. Ramagge, D. Robertson, and M.F. Whittaker, Zappa–Szép product groupoids and C*-blends, Semigroup Forum 394 (2017), 500–519.
  16. N. Brownlowe, T.M. Carlsen, and M.F. Whittaker, Graph algebras and orbit equivalence, Ergodic Theory Dynam. Systems 37 (2017), 389–417.
  17. N. Brownlowe, N.S. Larsen, and N. Stammeier, On C*-algebras associated to right LCM semigroups, Trans. Amer. Math. Soc. 369 (2017), 31–68.
  18. N. Brownlowe and A.P.W. Sørensen, L2,ℤ ⊗ L2,ℤ does not embed in L2,ℤ, J. Algebra. 456 (2016), 1–22.
  19. N. Brownlowe and N. Stammeier, The boundary quotient for algebraic dynamical systems, J. Math. Anal. Appl. 438 (2016), 772–789.
  20. N. Brownlowe and A.P.W. Sørensen, Countable Leavitt R-algebras embed into L2,R, J. Algebra. 454 (2016), 334–356.
  21. N. Brownlowe, V. Deaconu, A. Kumjian, and D. Pask, Crossed products and twisted k-graph algebras, New York J. Math. 22 (2016), 229–250.
  22. N. Brownlowe, J. Ramagge, D. Robertson, and M.F. Whittaker, Zappa–Szép products of semigroups and their C*-algebras, J. Funct. Anal. 266 (2015), 3937–3967.
  23. N. Brownlowe, A. Sims, and S. T. Vittadello, Co-universal C*-algebras associated to generalised graphs, Israel J. Math. 193 (2013), 399–440.
  24. N. Brownlowe and I. Raeburn, Two families of Exel–Larsen crossed products, J. Math. Anal. Appl. 398 (2013), 68–79.
  25. N. Brownlowe, Realising the C*-algebra of a higher-rank graph as an Exel crossed product, J. Operator Theory 68 (2012), 101–130.
  26. N. Brownlowe, A. an Huef, M. Laca, and I. Raeburn, Boundary quotients of the Toeplitz algebra of the affine semigroup over the natural numbers, Ergodic Theory Dynam. Systems 32 (2012), 35–62.
  27. N. Brownlowe, I. Raeburn, and S. T. Vittadello, Exel's crossed product for non-unital C*-algebras, Math. Proc. Camb. Phil. Soc., 149 (2010), 423–444.
  28. N. Brownlowe and I. Raeburn, Exel's crossed product and relative Cuntz–Pimsner algebras, Math. Proc. Camb. Phil. Soc., 141 (2006), 489–496.
  29. N. Brownlowe, N. S. Larsen, I. F. Putnam, and I. Raeburn, Subquotients of Hecke C*-algebras, Ergodic Theory Dynam. Systems, 25 (2005), 1503–1520.