Preprints

Z. Afsar, N. Brownlowe, J. Ramagge, and M.F. Whittaker, C*algebras of selfsimilar actions of groupoids on higherrank graphs and their equilibrium states, preprint, 2019, arXiv:1910.02472 [math.OA].
Publications

N. Brownlowe, N.S. Larsen, J. Ramagge, and N. Stammeier, C*algebras of right LCM monoids and their equilibrium states, to appear in Trans. Amer. Math. Soc., 2020, arXiv:1902.02674 [math.OA].

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.

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.

N. Brownlowe, M. Hawkins, and A. Sims, The Toeplitz noncommutative solenoid and its KMS states, Ergodic Theory Dynam. Systems 39 (2019), 105–131.

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.

B. Armstrong and N. Brownlowe, Productsystem models for twisted C*algebras of topological higherrank graphs, J. Math. Anal. Appl. 466 (2018), 1443–1475.

N. Brownlowe, A. Mundey, D. Pask, J. Spielberg, and A. Thomas, C*algebras associated to graphs of groups, Adv. Math. 316 (2017), 114–186.

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.

N. Brownlowe, T.M. Carlsen, and M.F. Whittaker, Graph algebras and orbit equivalence, Ergodic Theory Dynam. Systems 37 (2017), 389–417.

N. Brownlowe, N.S. Larsen, and N. Stammeier, On C*algebras associated to right LCM semigroups, Trans. Amer. Math. Soc. 369 (2017), 31–68.

N. Brownlowe and A.P.W. Sørensen, L_{2,ℤ} ⊗ L_{2,ℤ} does not embed in L_{2,ℤ}, J. Algebra. 456 (2016), 1–22.

N. Brownlowe and N. Stammeier, The boundary quotient for algebraic dynamical systems, J. Math. Anal. Appl. 438 (2016), 772–789.

N. Brownlowe and A.P.W. Sørensen, Countable Leavitt Ralgebras embed into L_{2,R}, J. Algebra. 454 (2016), 334–356.

N. Brownlowe, V. Deaconu, A. Kumjian, and D. Pask, Crossed products and twisted kgraph algebras, New York J. Math. 22 (2016), 229–250.

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.

N. Brownlowe, A. Sims, and S. T. Vittadello, Couniversal C*algebras associated to generalised graphs, Israel J. Math. 193 (2013), 399–440.

N. Brownlowe and I. Raeburn, Two families of Exel–Larsen crossed products, J. Math. Anal. Appl. 398 (2013), 68–79.

N. Brownlowe, Realising the C*algebra of a higherrank graph as an Exel crossed product, J. Operator Theory 68 (2012), 101–130.

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.

N. Brownlowe, I. Raeburn, and S. T. Vittadello, Exel's crossed product for nonunital C*algebras, Math. Proc. Camb. Phil. Soc., 149 (2010), 423–444.

N. Brownlowe and I. Raeburn, Exel's crossed product and relative Cuntz–Pimsner algebras, Math. Proc. Camb. Phil. Soc., 141 (2006), 489–496.

N. Brownlowe, N. S. Larsen, I. F. Putnam, and I. Raeburn, Subquotients of Hecke C*algebras, Ergodic Theory Dynam. Systems, 25 (2005), 1503–1520.