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Last update: 20 March 2007

Dr Aidan Sims

Research Affiliations and interests

I am part of the centre for pure mathematics in the School of Mathematics & Applied Statistics which belongs to the Faculty of Informatics at the University of Wollongong.

My particular area of research is operator algebras. Specifically I study Cuntz-Krieger algebras of directed graphs and their analogues, as well as product systems and associated operator algebras. Previously, as a computer science student, I was interested for a time in the field of artificial intelligence, and helped develop the VADER theorem prover and the SATEN belief revision engine as part of the CIN project under Dr Mary-Anne Williams in 1997-98.

 

Papers and Preprints

Here is a list of my publications and preprints. If you are interested in a copy, just click the [PDF] hyperlink next to it. If you don’t currently have a PDF viewer, Adobe Reader supports both MacOSX and Windows, and can be downloaded for free from Adobe’s website.

You can also download preprint versions of many of my papers from the arXiv Mathematics Preprint Server.

 

Journal Publications:

· D. Pask, J. Quigg and A. Sims, Coverings of skew-products and crossed products by coactions, J. Austral. Math. Soc. 86 (2009), 379–398. [PDF]

· T. Katsura, A. Sims and M. Tomforde, Realizations of AF-algebras as graph algebras, Exel-Laca algebras and ultragraph algebras, J. Funct. Anal. 257 (2009) 1589–1620. [PDF]

· T. Katsura, P. Muhly, A.Sims and M. Tomforde, Ultragraph C*-algebras via topological quivers, Studia Math. 187 (2008), 137–155. [PDF]

· A. Kumjian, D. Pask and A. Sims, C*-algebras associated to coverings of k-graphs, Documenta Math. 13 (2008) 161–205. [PDF]

· D. Pask, A. Rennie and A. Sims, The noncommutative geometry of k-graph C*-algebras, J. K-theory 1 (2008), 259–304. [PDF]

· D. Robertson and A. Sims, Simplicity of C*-algebras associated to higher-rank graphs, Bull. London Math. Soc. 39 (2007) 337–344. [PDF]

· S. Allen, D. Pask and A. Sims, A dual graph construction for higher-rank graphs, and K-theory for finite 2-graphs, Proc. Amer. Math. Soc. 134 (2006), 455–464. [PDF]

· D. Pask, I. Raeburn, M. Rordam and A. Sims, Rank-2 graphs whose C*-algebras are direct limits of circle algebras, J. Funct. Anal. 239 (2006), 137–178. [PDF]

· A. Sims, Relative Cuntz-Krieger algebras of finitely aligned higher-rank graphs, Indiana Univ. Math. J. 55 (2006), 849–868. [PDF]

· A, Sims, Gauge-invariant ideals in the C*-algebras of finitely aligned higher-rank graphs, Canad. J. Math 58 (2006), 1268–1290. [PDF]

· I. Raeburn and A. Sims, Product systems of graphs and the C*-algebras of higher-rank graphs, J. Operator Th. 53 (2005), 399–429. [PDF]

· I. Raeburn, A. Sims and T. Yeend, The C*-algebras of finitely aligned higher-rank graphs, J. Funct. Anal. 213 (2004) 206–240. [PDF]

· I. Raeburn, A. Sims and T. Yeend, Higher-rank graphs and their C*-algebras, Proc. Edinburgh Math. Soc. 46 (2003) 99–115. [PDF]

· N. J. Fowler and A. Sims, Product systems over right-angled Artin semigroups, Trans. Amer. Math. Soc. 354 (2001), 1487–1509. [PDF]

 

In Press:

· A. Kumjian, D. Pask and A. Sims, Generalised morphisms of k-graphs: k-morphs, Trans. Amer. Math. Soc., to appear. [http://arXiv.org/abs/0712.1072]. [PDF]

· V. Deaconu, A. Kumjian, D. Pask and A. Sims, Graphs of C*-correspondences and Fell bundles, Indiana Univ. Math. J., to appear. [http://arxiv.org/abs/0901.0032]. [PDF]

· T. Katsura, A. Sims, P. Muhly and M. Tomforde, Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence,  J. reine angew. Math., to appear. [http://arxiv.org/abs/0809.0164]. [PDF]

· A. Sims and T. Yeend, C*-algebras associated to product systems of Hilbert bimodules, J. Operator Theory, to appear. [http://arxiv.org/abs/0712.3073]. [PDF]

· D. Robertson and A. Sims, Simplicity of C*-algebras associated to row-finite locally convex higher-rank graphs, Israel J. Math, to appear. [http://arxiv.org/abs/0708.0245].[PDF]

· C. Farthing, D. Pask and A. Sims, Crossed products of k-graph C*-algebras by Z^l, Houston J. Math, to appear. [http://arXiv.org/abs/0706.3547]. [PDF]

· D. Pask, A. Rennie and A. Sims, Noncommutative manifolds from graph and k-graph C*-algebras, Comm. Math. Phys., to appear. [http://arXiv.org/math.OA/0701527]. [PDF]

 

Preprints (submitted):

· A. Sims, The co-universal C*-algebra of a row-finite graph, preprint 2008. [http://arxiv.org/abs/0809.2333]. [PDF]

· P. Lewin and A. Sims, Aperiodicity and cofinality for finitely aligned higher-rank graphs, preprint 2009. [http://arxiv.org/abs/0905.0735]. [PDF].

· T. Carlsen, N. Larsen, A. Sims and S. Vittadello, Co-universal algebras associated to product systems, and gauge-invariant uniqueness theorems, preprint 2009. [http://arxiv.org/abs/0906.4825]. [PDF].

 

Conference Proceedings and Book Chapters:

· A. Sims and B. Sims, Assessing the minimality of change in belief revision: capacities, Frontiers in Belief Revision, Mary-Anne Williams and Hans Rott (Eds.), Applied Logic Series, 22, Kluwer Academic Publishers, 2001. [PDF]

· I. Raeburn, A. Sims and D. P. Williams, Twisted actions and obstructions in group cohomology, C*-algebras: Proceedings of the SFB Workshop on C*-algebras, Münster, Germany, March 8 – 12, 1999, J. Cuntz and S. Echterhoff (Eds.), Springer, 2000. [PDF]

 

PhD Thesis:

· A. Sims, C*-algebras associated to higher-rank graphs, University of Newcastle Australia, 2003. [PDF]

Research Grants

 

External Grants:

· 2009–2011, Astrid an Huef and Aidan Sims, Operator algebras associated to groupoids, ARC Discovery—Projects grant.

· 2009–2011 Aidan Sims, Co-universal operator algebras, ARC Discovery—Projects grant.

· 2005–2008, Aidan Sims, Operator algebras associated to product systems, and higher-rank-graph algebras, ARC Discovery—Projects grant (Australian Postdoctoral Fellowship).

· 2006–2009, David Pask and Aidan Sims, Pictures for operator algebras: higher-rank graphs, ARC Discovery—Projects grant.

Internal Grants:

· 2009, Aidan Sims, Stably finite operator algebras associated to graphs, University of Wollongong University Research Council Small Grant (relinquished in favor of ARC DP).

·  2004–2005, Aidan Sims, Investigating the structure of C*-algebras associated to higher-rank graphs, University of Newcastle Early Career Researcher Grant.

Research