Dr Nathan Brownlowe

F07 - Carslaw Building
The University of Sydney


Current research students

Project title Research student
Simplicity and structure of twisted C*-algebras of topological higher-rank graphs Becky ARMSTRONG

Selected grants

2017

  • From actions to operator algebras and their equilibrium states; Ramagge J, Brownlowe N, Raeburn I, Laca M; Australian Research Council (ARC)/Discovery Projects (DP).

Selected publications

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Journals

  • Brownlowe, N., Sorensen, A. (2016). Countable Leavitt R-algebras embed into L_2,R. Journal of Algebra, 454, 334-356. [More Information]
  • Brownlowe, N., Deaconu, V., Kumjian, A., Pask, D. (2016). Crossed products and twisted k-graph algebras. New York Journal of Mathematics, 22, 229-250.
  • Brownlowe, N., Sorensen, A. (2016). L2,Z⊗L2,Z does not embed in L2,Z. Journal of Algebra, 456, 1-22. [More Information]
  • Brownlowe, N., Larsen, N., Stammeier, N. (2016). On C*-algebras associated to right LCM semigroups. Transactions of the American Mathematical Society, Electronic version(March 9, 2016), 1-38. [More Information]
  • Brownlowe, N., Stammeier, N. (2016). The boundary quotient for algebraic dynamical systems. Journal of Mathematical Analysis and Applications, 438(2), 772-789. [More Information]
  • Brownlowe, N., Carlsen, T., Whittaker, M. (2015). Graph algebras and orbit equivalence. Ergodic Theory and Dynamical Systems, , 1-29. [More Information]
  • Brownlowe, N., Ramagge, J., Robertson, D., Whittaker, M. (2014). Zappa-Szép products of semigroups and their C*-algebras. Journal of Functional Analysis, 266(6), 3937-3967. [More Information]
  • Brownlowe, N., Sims, A., Vittadello, S. (2013). Co-universal C*-algebras associated to generalised graphs. Israel Journal of Mathematics, 193(1), 399-440. [More Information]
  • Brownlowe, N., Raeburn, I. (2013). Two families of Exel-Larsen crossed products. Journal of Mathematical Analysis and Applications, 398(1), 68-79. [More Information]
  • Brownlowe, N., An Huef, A., Laca, M., Raeburn, I. (2012). Boundary quotients of the Toeplitz algebra of the affine semigroup over the natural numbers. Ergodic Theory and Dynamical Systems, 32, 35-62. [More Information]
  • Brownlowe, N. (2012). Realising the C*-algebra of a higher-rank graph as an Exel crossed product. Journal of Operator Theory, 68, 101-130.
  • Brownlowe, N., Raeburn, I., Vittadello, S. (2010). Exel’s crossed product for non-unital C*-algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 149, 423-444. [More Information]
  • Brownlowe, N., Raeburn, I. (2006). Exel’s crossed product and relative Cuntz-Pimsner algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 141, 489-496. [More Information]
  • Brownlowe, N., Larsen, N., Putnam, I., Raeburn, I. (2005). Subquotients of Hecke C^*-algebras. Ergodic Theory and Dynamical Systems, 25, 1503-1520.

2016

  • Brownlowe, N., Sorensen, A. (2016). Countable Leavitt R-algebras embed into L_2,R. Journal of Algebra, 454, 334-356. [More Information]
  • Brownlowe, N., Deaconu, V., Kumjian, A., Pask, D. (2016). Crossed products and twisted k-graph algebras. New York Journal of Mathematics, 22, 229-250.
  • Brownlowe, N., Sorensen, A. (2016). L2,Z⊗L2,Z does not embed in L2,Z. Journal of Algebra, 456, 1-22. [More Information]
  • Brownlowe, N., Larsen, N., Stammeier, N. (2016). On C*-algebras associated to right LCM semigroups. Transactions of the American Mathematical Society, Electronic version(March 9, 2016), 1-38. [More Information]
  • Brownlowe, N., Stammeier, N. (2016). The boundary quotient for algebraic dynamical systems. Journal of Mathematical Analysis and Applications, 438(2), 772-789. [More Information]

2015

  • Brownlowe, N., Carlsen, T., Whittaker, M. (2015). Graph algebras and orbit equivalence. Ergodic Theory and Dynamical Systems, , 1-29. [More Information]

2014

  • Brownlowe, N., Ramagge, J., Robertson, D., Whittaker, M. (2014). Zappa-Szép products of semigroups and their C*-algebras. Journal of Functional Analysis, 266(6), 3937-3967. [More Information]

2013

  • Brownlowe, N., Sims, A., Vittadello, S. (2013). Co-universal C*-algebras associated to generalised graphs. Israel Journal of Mathematics, 193(1), 399-440. [More Information]
  • Brownlowe, N., Raeburn, I. (2013). Two families of Exel-Larsen crossed products. Journal of Mathematical Analysis and Applications, 398(1), 68-79. [More Information]

2012

  • Brownlowe, N., An Huef, A., Laca, M., Raeburn, I. (2012). Boundary quotients of the Toeplitz algebra of the affine semigroup over the natural numbers. Ergodic Theory and Dynamical Systems, 32, 35-62. [More Information]
  • Brownlowe, N. (2012). Realising the C*-algebra of a higher-rank graph as an Exel crossed product. Journal of Operator Theory, 68, 101-130.

2010

  • Brownlowe, N., Raeburn, I., Vittadello, S. (2010). Exel’s crossed product for non-unital C*-algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 149, 423-444. [More Information]

2006

  • Brownlowe, N., Raeburn, I. (2006). Exel’s crossed product and relative Cuntz-Pimsner algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 141, 489-496. [More Information]

2005

  • Brownlowe, N., Larsen, N., Putnam, I., Raeburn, I. (2005). Subquotients of Hecke C^*-algebras. Ergodic Theory and Dynamical Systems, 25, 1503-1520.

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