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TWISTED TOPOLOGICAL GRAPH ALGEBRAS

Published online by Cambridge University Press:  06 March 2015

HUI LI*
Affiliation:
Research Center for Operator Algebras, Department of Mathematics, East China Normal University (Minhang Campus), 500 Dongchuan Road, Minhang District, Shanghai 200241, China email hli@math.ecnu.edu.cn
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Abstract

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Type
Abstracts of Australasian PhD Theses
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

Deaconu, V., ‘Groupoids associated with endomorphisms’, Trans. Amer. Math. Soc. 347 (1995), 17791786.Google Scholar
Deaconu, V., Kumjian, A. and Muhly, P., ‘Cohomology of topological graphs and Cuntz–Pimsner algebras’, J. Operator Theory 46 (2001), 251264.Google Scholar
Katsura, T., ‘A class of C -algebras generalizing both graph algebras and homeomorphism C -algebras I. Fundamental results’, Trans. Amer. Math. Soc. 356 (2004), 42874322.CrossRefGoogle Scholar
Katsura, T., ‘A class of C -algebras generalizing both graph algebras and homeomorphism C -algebras II. Examples’, Internat. J. Math. 17 (2006), 791833.Google Scholar
Katsura, T., ‘A class of C -algebras generalizing both graph algebras and homeomorphism C -algebras III. Ideal structures’, Ergodic Theory Dynam. Systems 26 (2006), 18051854.Google Scholar
Katsura, T., ‘A class of C -algebras generalizing both graph algebras and homeomorphism C -algebras. IV. Pure infiniteness’, J. Funct. Anal. 254 (2008), 11611187.CrossRefGoogle Scholar
Kumjian, A. and Pask, D., ‘Higher rank graph C -algebras’, New York J. Math. 6 (2000), 120.Google Scholar
Kumjian, A., Pask, D. and Raeburn, I., ‘Cuntz–Krieger algebras of directed graphs’, Pacific J. Math. 184 (1998), 161174.CrossRefGoogle Scholar
Kumjian, A., Pask, D., Raeburn, I. and Renault, J., ‘Graphs, groupoids, and Cuntz–Krieger algebras’, J. Funct. Anal. 144 (1997), 505541.Google Scholar
Kumjian, A., Pask, D. and Sims, A., ‘Homology for higher-rank graphs and twisted C -algebras’, J. Funct. Anal. 263 (2012), 15391574.CrossRefGoogle Scholar
Kumjian, A., Pask, D. and Sims, A., On twisted higher-rank graph $C^{\ast }$-algebras, Trans. Amer. Math. Soc., to appear, arXiv:1112.6233.Google Scholar
Li, H., ‘Twisted topological graph algebras’, Houston J. Math. (2016), to appear, arXiv:1404.7756.Google Scholar
Raeburn, I., Sims, A. and Williams, D.P., ‘Twisted actions and obstructions in group cohomology’, in: C -algebras (Münster, 1999) (Springer, Berlin, 2000), 161181.Google Scholar