People_
Associate Professor Nathan Brownlowe
Senior Lecturer in the School of Mathematics and Statistics
Phone
8627 8512
Address
F07 - Carslaw Building
The University of Sydney
Timetable
Publications
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Journals
- Brownlowe, N., Robertson, D. (2025). Self-similar quantum groups. Journal of Noncommutative Geometry, 19(1), 269-296. [More Information]
- Brownlowe, N., Buss, A., Gonçalves, D., Hume, J., Sims, A., Whittaker, M. (2024). KK-DUALITY FOR SELF-SIMILAR GROUPOID ACTIONS ON GRAPHS. Transactions of the American Mathematical Society, 377(8), 5513-5560. [More Information]
- Armstrong, B., Brownlowe, N., Sims, A. (2024). Simplicity of twisted C*-algebras of Deaconu–Renault groupoids. Journal of Noncommutative Geometry, 18(1 Open Access), 265-312. [More Information]
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2025
- Brownlowe, N., Robertson, D. (2025). Self-similar quantum groups. Journal of Noncommutative Geometry, 19(1), 269-296. [More Information]
2024
- Brownlowe, N., Buss, A., Gonçalves, D., Hume, J., Sims, A., Whittaker, M. (2024). KK-DUALITY FOR SELF-SIMILAR GROUPOID ACTIONS ON GRAPHS. Transactions of the American Mathematical Society, 377(8), 5513-5560. [More Information]
- Armstrong, B., Brownlowe, N., Sims, A. (2024). Simplicity of twisted C*-algebras of Deaconu–Renault groupoids. Journal of Noncommutative Geometry, 18(1 Open Access), 265-312. [More Information]
2020
- Brownlowe, N., Larsen, N., Ramagge, J., Stammeier, N. (2020). C^* -algebras of right LCM monoids and their equilibrium states. Transactions of the American Mathematical Society, 373, 5235-5273. [More Information]
- Brownlowe, N., Laca, M., Robertson, D., Sims, A. (2020). Reconstructing directed graphs from generalized gauge actions on their Toeplitz algebras. Proceedings of the Royal Society of Edinburgh Section A (Mathematics), 150(5), 2632-2641. [More Information]
2019
- Afsar, Z., Brownlowe, N., Larsen, N., Stammeier, N. (2019). Equilibrium states on right LCM semigroup C*-algebras. International Mathematics Research Notices, 2019 (6), 1642-1698. [More Information]
- Brownlowe, N., Hawkins, M., Sims, A. (2019). The Toeplitz noncommutative solenoid and its Kubo-Martin-Schwinger states. Ergodic Theory and Dynamical Systems, 39(1), 105-131. [More Information]
2018
- Brownlowe, N., Larsen, N., Stammeier, N. (2018). C*-Algebras of Algebraic Dynamical Systems and Right LCM Semigroups. Indiana University Mathematics Journal, 67(6), 2453-2486. [More Information]
- Armstrong, B., Brownlowe, N. (2018). Product-system models for twisted C*-algebras of topological higher-rank graphs. Journal of Mathematical Analysis and Applications, 466(2), 1443-1475. [More Information]
2017
- Brownlowe, N., Mundey, A., Pask, D., Spielberg, J., Thomas, A. (2017). C*-algebras associated to graphs of groups. Advances in Mathematics, 316, 114-186. [More Information]
- Brownlowe, N., Carlsen, T., Whittaker, M. (2017). Graph algebras and orbit equivalence. Ergodic Theory and Dynamical Systems, 37(2), 389-417. [More Information]
- Brownlowe, N., Larsen, N., Stammeier, N. (2017). On C*-algebras associated to right LCM semigroups. Transactions of the American Mathematical Society, 369(1), 31-68. [More Information]
2016
- 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 (X) L2,Z does not embed in L2,Z. Journal of Algebra, 456, 1-22. [More Information]
- Brownlowe, N., Sorensen, A. (2016). Leavitt R-algebras over countable graphs embed into L2,R. Journal of Algebra, 454, 334-356. [More Information]
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2014
- Brownlowe, N., Ramagge, J., Robertson, D., Whittaker, M. (2014). Zappa-szep 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(1), 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(1), 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(3), 423-444. [More Information]
2006
- Brownlowe, N., Raeburn, I. (2006). Exel's crossed product for non-unital C*-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.
Selected Grants
2019
- There and back again: operator algebras, algebras and dynamical systems, Brownlowe N, Sims A, Pask D, Clark L, Australian Research Council (ARC)/Discovery Projects (DP)
2016
- From actions to operator algebras and their equilibrium states, Ramagge J, Brownlowe N, Raeburn I, Laca M, Australian Research Council (ARC)/Discovery Projects (DP)