The C*-Algebra of a Hubert Bimodule

Bollettino della Unione Matematica Italiana B

Volumn , Issue 2, 1998, Pages 263-282

  Doplicher, Sergio ^a   Pinzari, Claudia ^b   Zuccante, Rita ^c  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

^c UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001086676     PISSN: 03924041     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (33)

1. B. ABADIE - S. EILERS - R. EXEL, Morita equivalence for crossed products by Hubert C*-bimodules, preprint (1995).
2. B. BLACKADAR, K-theory for C*-algebras, MSRI publications, (1986).
3. L. G. BROWN, Stable isomorphism of hereditary subalgebras of C*-algebras, Pacific J. Math., 71, No. 2 (1977), 335-348.
4. L. G. BROWN - P. GREEN - M. A. RIEFFEL, Stable isomorphism and strong Morita equivalence of C*-Algebras, Pacific J. Math., 71, No 2 (1977), 349-363.
5. L. G. BROWN - J. MINGO - N. SHEN, Quasi-multipliers and embeddings of Hilbert C*-bimodules, Canad. J. Math., 46, No. 6 (1994), 1150-1174.
6. T. CECCHERINI - S. DOPLICHER - C. PINZARI - J. E. ROBERTS, A generalization of the Cuntz algebras and model actions, J. Funct. Anal., 125 (1994), 416-437.
7. J. CUNTZ, Simple C*-algebras generated by isometries, Commun. Math. Phys., 57 (1977), 173-185.
8. J. CUNTZ - W. KRIEGER, A class of C*-algebras and topological Markov chains, Invent. Math., 56 (1980), 251-268.
9. S. DOPLICHER - J. E. ROBERTS, Compact group actions on C*-algebras, J. Op. Th., 19 (1988), 283-305.
10. S. DOPLICHER - J. E. ROBERTS, Endomorphisms of C*-algebras, crossed products and duality for compact groups, Ann. Math., 130 (1989), 75-119.
11. S. DOPLICHER - J. E. ROBERTS, A new duality theory for compact groups, Invent. Math., 98 (1989), 157-218.
12. S. DOPLICHER - J. E. ROBERTS, Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics, Commun. Math. Phys., 131 (1990), 51-107.
13. G. A. ELLIOTT, Some simple C*-algebras constructed as crossed products with discrete outer automorphism groups, Publ. RIMS, Kyoto Univ., 16 (1980), 299-311.
14. R. EXEL, A Fredholm operator approach to Morita equivalence, K-theory, 7 (1993), 285-308.
15. R. HAAG, Local Quantum Physics, Springer-Verlag, Berlin, Heidelberg (1996).
16. G. KASPAROV, Hilbert C*-modules: theorems of Stinespring and Voiculescu, J. Op. Th., 4 (1980), 133-150.
17. T. KAJIWARA - Y. WATATANI, Jones index theory by Hilbert C*-bimodules and K-theory, preprint, University of Okayama.
18. T. KAJIWARA - C. PINZARI - Y. WATATANI, Ideal structure and simplicity of the C*-algebras generated by Hilbert bimodules, preprint, Università di Roma «Tor Vergata».
19. A. KISHIMOTO, Outer automorphisms and reduced crossed products of simple C*-algebras, Commun. Math. Phys., 81 (1981), 429-435.
20. M. IZUMI, Index theory of simple C*-algebras, Seminar given at the Fields Institute, in the Workshop on Subfactors.
21. V. F. R. JONES, Index for subfactors, Invent. Math., 72 (1983), 1-25.
22. R. LONGO, Index of subfactors and statistics of quantum fields, I, Commun. Math. Phys., 126 (1989), 217-247; II, Commun. Math. Phys., 130 (1990), 285-309.
23. R. LONGO, Index of subfactors and statistics of quantum fields, I, Commun. Math. Phys., 126 (1989), 217-247; II, Commun. Math. Phys., 130 (1990), 285-309.
24. R. LONGO - K.-H. REHREN, Nets of subfactors, Rev. Math. Phys., 7 (1995), 567-597.
25. R. LONGO - J. E. ROBERTS, A theory of dimension, K-Theory, 11 (1997), 103-159.
26. D. OLESEN - G. K. PEDERSEN, Applications of the Connes spectrum to C*-dynamical systems, J. Funct. Anal., 30 (1978), 179-197; III, 45 (1982), 357-390.
27. D. OLESEN - G. K. PEDERSEN, Applications of the Connes spectrum to C*-dynamical systems, J. Funct. Anal., 30 (1978), 179-197; III, 45 (1982), 357-390.
28. G. K. PEDERSEN, C*-algebras and their Automorphism Groups, Academic Press, New York (1990).
29. M. PIMSNER, A class of C*-algebras generalizing both Cuntz-Krieger algebras and crossed products by ℤ, in: Free Probability Theory, D.-V. Voiculescu Ed., AMS (1997).
30. M. PIMSNER - S. POPA, Entropy and index for subfactors, Ann. Sci. Ec. Norm. Sup., 19 (1985), 57-106.
31. K.-H. REHREN, Braid group statistics and their superselection rules, in The Algebraic Theory of Superselection Sectors, D. Kastler Ed., World Sci. P. Co., (1990).
32. M. A. RIEFFEL, Induced representations of C*-algebras, Adv. Math., 13 (1974), 176-257.
33. N, Rims, Kokioroku, 858 (1994), 131-151.