Hilbert C*-bimodules and countably generated Cuntz-Krieger algebras

Journal of Operator Theory

Volumn 45, Issue 1, 2001, Pages 3-18

  Kajiwara, T ^a   Pinzari, C ^b   Watatani, Y ^c  

^a OKAYAMA UNIVERSITY   (Japan)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

^c KYUSHU UNIVERSITY   (Japan)

Author keywords

Cuntz Krieger algebra; Hilbert bimodule

Indexed keywords

EID: 0040956500     PISSN: 03794024     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. B. ABADIE, S. EILERS, R. EXEL, Morita equivalence for crossed products by Hilbert C*-bimodules, Trans. Amer. Math. Soc. 350(1998), 3043-3054.
2. C. ANANTHARAMAN-DELAROCHE, Purely infinite C*-algebras arising from dynamical systems, Bull. Soc. Math. France 125(1997), 199-225.
3. A. CONNES, Noncommutative Differential Geometry, Academic Press, 1994.
4. 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.
5. J. CUNTZ, W. KRIEGER, A class of C*-algebras and topological Markov chains, Invent. Math. 36(1980), 251-268.
6. S. DOPLICHER, C. PINZARI, R. ZUCCANTE, The C*-algebra of a Hilbert bimodule, Boll. Un. Mat. Ital. A (7) 8(1988), 263-281.
7. S. DOPLICHER, J.E. ROBERTS, Duals of compact Lie groups realized in the Cuntz algebras and their actions on C*-algebras, J. Funct. Anal. 74(1987), 96-120.
8. S. DOPLICHER, J.E. ROBERTS, A new duality theory for compact groups, Invent. Math. 98(1989), 157-218.
9. N, R.I.M.S. Kokyuroku 858(1994), 87-90.
10. A. KUMJIAN, D. PASK, I. RAEBURN, Cuntz-Krieger algebras of directed graphs, Pacific J. Math. 184(1998), 161-174.
11. A. KUMJIAN, D. PASK, I. RAEBURN, J. RENAULT, Graphs, groupoids and Cuntz-Krieger algebras, J. Funct. Anal. 144(1997), 505-541.
12. T. KAJIWARA, C. PINZARI, Y. WATATANI, Ideal structure and simplicity of the C*-algebras generated by Hilbert bimodules, J. Funct. Anal. 159(1998), 295-322.
13. P.S. MUHLY, B. SOLEL, On the simplicity of some Cuntz-Pimsner algebras, Math. Scand. 83(1998), 53-73.
14. D. PASK, I. RAEBURN, K-group of countable Cuntz-Krieger algebras, Publ. Res. Inst. Math. Sci. 32(1996), 415-443.
15. M. PIMSNER, A class of C*-algebras generating both Cuntz-Krieger algebras and crossed products by Z, Free Probability Theory, Fields Inst. Comm. 12 (1997), 189-212.
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, International Press, 1997, pp. 136-150.
17. J. RENAULT, A Groupoid Approach to C*-Algebras, Lecture Notes Math., vol. 793, Springer-Verlag, 1980.