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Dykema, Kenneth J.; Rørdam, Mikael. Purely Infinite, Simple C*-Algebras Arising From Free Product Constructions. Canadian journal of mathematics, Tome 50 (1998) no. 2, pp. 323-341. doi: 10.4153/CJM-1998-017-x
@article{10_4153_CJM_1998_017_x,
author = {Dykema, Kenneth J. and R{\o}rdam, Mikael},
title = {Purely {Infinite,} {Simple} {C*-Algebras} {Arising} {From} {Free} {Product} {Constructions}},
journal = {Canadian journal of mathematics},
pages = {323--341},
year = {1998},
volume = {50},
number = {2},
doi = {10.4153/CJM-1998-017-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-017-x/}
}
TY - JOUR AU - Dykema, Kenneth J. AU - Rørdam, Mikael TI - Purely Infinite, Simple C*-Algebras Arising From Free Product Constructions JO - Canadian journal of mathematics PY - 1998 SP - 323 EP - 341 VL - 50 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-017-x/ DO - 10.4153/CJM-1998-017-x ID - 10_4153_CJM_1998_017_x ER -
%0 Journal Article %A Dykema, Kenneth J. %A Rørdam, Mikael %T Purely Infinite, Simple C*-Algebras Arising From Free Product Constructions %J Canadian journal of mathematics %D 1998 %P 323-341 %V 50 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-017-x/ %R 10.4153/CJM-1998-017-x %F 10_4153_CJM_1998_017_x
[1] 1. Avitzour, D., Free products of C*-algebras. Trans. Amer. Math. Soc. 271(1982), 423–465. Google Scholar
[2] 2. Blackadar, B., Kumjian, A., Rørdam, M., Approximately central matrix units and the structure of noncommutative tori. K-Theory 6(1992), 267–284. Google Scholar
[3] 3. Blackadar, B. and Handelman, D., Dimension functions and traces on C*-algebras. J. Funct. Anal. 45(1982), 297–340. Google Scholar
[4] 4. Barnett, L., Free product von Neumann algebras of type III. Proc. Amer. Math. Soc. 123(1995), 543–553. Google Scholar
[5] 5. Brown, L. and Pedersen, G.K., C*-algebras of real rank zero. J. Funct. Anal. 99(1991), 131–149. Google Scholar
[6] 6. Cuntz, J., Simple C*-algebras generated by isometries. Comm. Math. Phys. 57(1977), 173–185. Google Scholar
[7] 7. Cuntz, J., K-theory for certain C*-algebras. Ann. of Math. 113(1981), 181–197. Google Scholar
[8] 8. Goodearl, K. and Handelman, D., Rank functions and K0 of regular rings. J. Pure Appl. Algebra 7(1976), 195–216. Google Scholar
[9] 9. Kirchberg, E., The classification of purely infinite C*-algebras using Kasparov's theory. 3rd draft, preprint. Google Scholar
[10] 10. Kishimoto, A., Outer automorphisms and reduced crossed products of simple C*-algebras. Comm. Math. Phys. 81(1981), 429–435. Google Scholar
[11] 11. Rørdam, M., On the structure of simple C*-algebras tensored with a UHF-algebra. J. Funct. Anal. 100(1991), 1–17. Google Scholar
[12] 12. Rørdam, M.,On the structure of simple C*-algebras tensored with a UHF-algebra, II. J. Funct. Anal. 107(1992), 255–269. Google Scholar
[13] 13. Rørdam, M., Classification of certain infinite simple C*-algebras, III. Fields Inst. Commun. 13(1997), 257–282. Google Scholar
[14] 14. Voiculescu, D., Dykema, K. J. and Nica, A., Free Random Variables. CRMMonograph Series 1, Amer.Math. Soc., 1992. Google Scholar
[15] 15. Zhang, S., A property of purely infinite C*-algebras. Proc. Amer. Math. Soc. 109(1990), 717–720. Google Scholar
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