The $C^{*}$-algebra of a Hilbert bimodule

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1. ABADIE, B.- EILERS, S.- EXEL, R., Morita equivalence for crossed products by Hilbert $C^{*}$-bimodules, preprint (1995). Zbl0899.46053MR1467459
2. BLACKADAR, B., K-theory for $C^{*}$-algebras, MSRI publications, (1986). 
3. BROWN, L. G., Stable isomorphism of hereditary subalgebras of $C^{*}$-algebras, Pacific J. Math., 71, No. 2 (1977), 335-348. Zbl0362.46042MR454645
4. BROWN, L. G.- GREEN, P.- RIEFFEL, M. A., Stable isomorphism and strong Morita equivalence of $C^{*}$-Algebras, Pacific J. Math., 71, No 2 (1977), 349-363. Zbl0362.46043MR463928
5. BROWN, L. G.- MINGO, J.- SHEN, N., Quasi-multipliers and embeddings of Hilbert $C^{*}$-bimodules, Canad. J. Math., 46, No. 6 (1994), 1150-1174. Zbl0846.46031MR1304338
6. CECCHERINI, T.- DOPLICHER, S.- PINZARI, C.- ROBERTS, J. E., A generalization of the Cuntz algebras and model actions, J. Funct. Anal., 125 (1994), 416-437. Zbl0816.46068MR1297675
7. CUNTZ, J., Simple $C^{*}$-algebras generated by isometries, Commun. Math. Phys., 57 (1977), 173-185. Zbl0399.46045MR467330
8. CUNTZ, J.- KRIEGER, W., A class of $C^{*}$-algebras and topological Markov chains, Invent. Math., 56 (1980), 251-268. Zbl0434.46045MR561974
9. DOPLICHER, S.- ROBERTS, J. E., Compact group actions on $C^{*}$-algebras, J. Op. Th., 19 (1988), 283-305. Zbl0689.46020MR960981
10. DOPLICHER, S.- ROBERTS, J. E., Endomorphisms of $C^{*}$-algebras, crossed products and duality for compact groups, Ann. Math., 130 (1989), 75-119. Zbl0702.46044MR1005608
11. DOPLICHER, S.- ROBERTS, J. E., A new duality theory for compact groups, Invent. Math., 98 (1989), 157-218. Zbl0691.22002MR1010160
12. DOPLICHER, S.- ROBERTS, J. E., 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. Zbl0734.46042MR1062748
13. ELLIOTT, G. A., Some simple $C^{*}$-algebras constructed as crossed products with discrete outer automorphism groups, Publ. RIMS, Kyoto Univ., 16 (1980), 299- 311. Zbl0438.46044MR574038
14. EXEL, R., A Fredholm operator approach to Morita equivalence, K-theory, 7 (1993), 285-308. Zbl0792.46051MR1244004
15. HAAG, R., Local Quantum Physics, Springer-Verlag, Berlin, Heidelberg (1996). Zbl0857.46057MR1405610
16. KASPAROV, G., Hilbert $C^{*}$-modules: theorems of Stinespring and Voiculescu, J. Op. Th., 4 (1980), 133-150. Zbl0456.46059MR587371
17. KAJIWARA, T.- WATATANI, Y., Jones index theory by Hilbert $C^{*}$-bimodules and Ktheory, preprint, University of Okayama. 
18. KAJIWARA, T.- PINZARI, C.- WATATANI, Y., Ideal structure and simplicity of the $C^{*}$-algebras generated by Hilbert bimodules, preprint, Università di Roma «Tor Vergata». Zbl0942.46035MR1658088
19. KISHIMOTO, A., Outer automorphisms and reduced crossed products of simple $C^{*}$-algebras, Commun. Math. Phys., 81 (1981), 429-435. Zbl0467.46050MR634163
20. IZUMI, M., Index theory of simple $C^{*}$-algebras, Seminar given at the Fields Institute, in the Workshop on Subfactors. 
21. JONES, V. F. R., Index for subfactors, Invent. Math., 72 (1983), 1-25. Zbl0508.46040MR696688
22. LONGO, R., Index of subfactors and statistics of quantum fields, I, Commun. Math. Phys., 126 (1989), 217-247; II, Commun. Math. Phys., 130 (1990), 285-309. Zbl0682.46045
23. LONGO, R.- REHREN, K.-H., Nets of subfactors, Rev. Math. Phys., 7 (1995), 567-597. Zbl0836.46055MR1332979
24. LONGO, R.- ROBERTS, J. E., A theory of dimension, K-Theory, 11 (1997), 103-159. Zbl0874.18005MR1444286
25. OLESEN, D.- PEDERSEN, G. K., Applications of the Connes spectrum to $C^{*}$-dynamical systems, J. Funct. Anal., 30 (1978), 179-197; III, 45 (1982), 357-390. Zbl0391.46051
26. PEDERSEN, G. K., $C^{*}$-algebras and their Automorphism Groups, Academic Press, New York (1990). Zbl0416.46043MR548006
27. PIMSNER, M., 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). Zbl0871.46028MR1426840
28. PIMSNER, M.- POPA, S., Entropy and index for subfactors, Ann. Sci. Ec. Norm. Sup., 19 (1985), 57-106. Zbl0646.46057MR860811
29. REHREN, K.-H., Braid group statistics and their superselection rules, in The Algebraic Theory of Superselection Sectors, D. Kastler Ed., World Sci. P. Co., (1990). MR1147467
30. RIEFFEL, M. A., Induced representations of $C^{*}$-algebras, Adv. Math., 13 (1974), 176-257. Zbl0284.46040MR353003
31. KATAYAMA, Y., Generalized Cuntz algebras ${\mathcal{O}}_N^M$, Rims, Kokioroku, 858 (1994), 131-151.