The C*-algebras of row-finite graphs

New York Journal of Mathematics

Volumn 6, Issue , 2000, Pages 307-324

  Bates, Teresa ^a   Pask, David ^b   Raeburn, Iain ^b   Szymański, Wojciech ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Cuntz Krieger algebra; Directed graph; Graph algebra

Indexed keywords

EID: 0001348070     PISSN: 10769803     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. S. Adji, M. Laca, M. Nilsen and I. Raeburn, Crossed products by semigroups of endomorphisms and the Toeplitz algebras of ordered groups, Proc. Amer. Math. Soc. 122 (1994), 1133-1141, MR 95b:46094, Zbl 818.46071.
2. C. Anantharaman-Delaroche, Purely infinite C*-algebras arising from dynamical systems, Bull. Soc. Math. France 125 (1997), 199-225, MR 99i:46051, Zbl 896.46044.
3. T. Bates, The Cuntz-Krieger algebras of row-finite graphs, PhD thesis, U. of Newcastle, 1999.
4. S. Boyd, N. Keswani and I. Raeburn, Faithful representations of crossed products by endomorphisms, Proc. Amer. Math. Soc. 118 (1993), 427-436, MR 93g:46066, Zbl 785.46051.
5. J. B. Conway, A Course in Functional Analysis (2nd ed.), Springer-Verlag, New York, 1990, MR 91e:46001, Zbl 706.46003.
6. J. Cuntz, A class of C*-algebras and topological Markov chains II: reducible chains and the Ext-functor for C*-algebras, Invent. Math. 63 (1981), 25-40, MR 82f:46073b, Zbl 461.46047.
7. J. Cuntz and W. Krieger, A class of C*-algebras and topological Markov chains, Invent. Math. 56 (1980), 251-268, MR 82f:46073a, Zbl 434.46045.
8. M. Fujii and Y. Watatani, Cuntz-Krieger algebras associated with adjoint graphs, Math. Japon. 25 (1980), 501-506, MR 83d:46069b, Zbl 455.46054.
9. A. an Huef and I. Raeburn, The ideal structure of Cuntz-Krieger algebras, Ergod. Th. & Dynam. Sys. 17 (1997), 611-624, MR 98k:46098, Zbl 886.46061.
10. T. Kajiwara, C. Pinzari and Y. Watatani, Hilbert C*-bimodules and countably generated Cuntz-Krieger algebras, preprint.
11. A. Kumjian, D. Pask and I. Raeburn, Cuntz-Krieger algebras of directed graphs, Paci.c J. Math. 184 (1998), 161-174, MR 99i:46049, Zbl 917.46056.
12. A. Kumjian, D. Pask, I. Raeburn and J. Renault, Graphs, groupoids and Cuntz-Krieger algebras, J. Funct. Anal. 144 (1997), 505-541, MR 98g:46083.
13. M. Laca and J. Spielberg, Purely infinite C*-algebras from boundary actions of discrete groups, J. reine angew. Math. 480 (1996), 125-139, MR 98a:46085, Zbl 863.46044.
14. M. H. Mann, I. Raeburn and C. E. Sutherland, Representations of finite groups and Cuntz-Krieger algebras, Bull. Austral. Math. Soc. 46 (1992), 225-243, MR 93k:46046, Zbl 763.22002.
15. M. Pimsner, A class of C*-algebras generalizing both Cuntz-Krieger algebras and crossed products by Z, Fields Inst. Comm. 12 (1997), 189-212, MR 97k:46069, Zbl 871.46028.
16. C. Pinzari, The ideal structure of Cuntz-Krieger-Pimsner algebras and Cuntz-Krieger algebras over infinite matrices, in Operator Algebras and Quantum Field Theory, (S. Doplicher, R. Longo, J. E. Roberts, L. Zsido, eds.), International Press, 1997, pp. 136-150, MR 98m:46074, Zbl 912.46071.
17. I. Raeburn and D. P. Williams, Morita Equivalence and Continuous-Trace C*-Algebras, Math. Surveys & Monographs, no. 60, Amer. Math. Soc., Providence, 1998, MR 2000c:46108, Zbl 922.46050.
18. I. Raeburn and W. Szymański, Cuntz-Krieger algebras of infinite graphs and matrices, preprint.