Dilations of C*-correspondences and the simplicity of Cuntz-Pimsner algebras

Journal of Functional Analysis

Volumn 180, Issue 2, 2001, Pages 404-425

  Schweizer, J ürgen ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035836130     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2000.3703     Document Type: Article

References (18)

1. Boyd S., Keswani N., Raeburn I. Faithful representations of crossed products by endomorphisms. Proc. Amer. Math. Soc. 118:1993;427-436.
2. Adji S., Laca M., Nilsen M., Raeburn I. Crossed products by semigroups of endomorphisms and the Toeplitz algebra of ordered groups. Proc. Amer. Math. Soc. 122:1994;1133-1141.
3. Brown L. G., Mingo J. A., Shen N.-T. Quasi-multipliers and embeddings of Hilbert C*-bimodules. Canad. J. Math. 46:1994;1150-1174.
4. Doplicher S., Pinzari C., Zuccante R. The C*-algebra of a Hilbert bimodule. Boll. Unione Math. Ital. Sze. B Artic. Ric. Mat. (8). 1:1998;263-281.
5. N. Fowler, Discrete product systems of Hilbert bimodules, preprint.
6. Fowler N., Raeburn I. The Toeplitz algebra of a Hilbert bimodule. Indiana Math. J. 48:1999;155-181.
7. Kajiwara T., Pinzari C., Watatani Y. Ideal structure and simplicity of the C*-algebras generated by Hilbert bimodules. J. Funct. Anal. 159:1998;295-322.
8. Lance C. Hilbert C*-Modules - A Toolkit for Operator Algebraists. London Math. Soc. Lecture Notes. 1995;Cambridge University Press, Cambridge.
9. Muhly P. S., Solel B. On the simplicity of some Cuntz-Pimsner algebras. Math. Scand. 83:1998;53-73.
10. P. S. Muhly, and, B. Solel, Corrigendum to on the simplicity of some Cuntz-Pimsner algebras, Math. Scand, to appear.
11. Pachke W. L. The crossed product by an endomorphism. Proc. Amer. Math. Soc. 80:1980;113-118.
12. Pedersen G. K. C*-Algebras and their Automorphism Groups. 1979;Academic Press, London.
13. Pimsner M. V. A class of C*-algebras generalizing both Cuntz-Krieger algebras and crossed products by Z . Voiculescu D. Free Probability Theory. Fields Institute Communications. 12:1997;189-212 Amer. Math. Soc. Providence.
14. Sakai S. Operator Algebras in Dynamical Systems. Encyclopedia of Mathematics and Its Application. 41:1991;Cambridge University Press, Cambridge.
15. J. Schweizer, Crossed products by equivalence bimodules, submitted.
16. Schweizer J. Crossed products by C*-correspondences and Cuntz-Pimsner algebras. Cuntz J., Echterhoff S. C*-Algebras: Proceedings of the SFB-Workshop on C*-Algebras, Münster, Germany, March 8-12, 1999. 2000;Springer-Verlag, Berlin.
17. Stacey P. Crossed products of C*-algebras by*-endomorphisms. J. Austral. Math. Soc. 54:1993;204-212.
18. Watatani Y. Index for C*-subalgebras. Mem. Amer. Math. Soc. 424:1990.