Continuous-trace C*-algebras not isomorphic to their opposite algebras

International Journal of Mathematics

Volumn 12, Issue 3, 2001, Pages 263-275

  Phillips, N Christopher ^a  

^a UNIVERSITY OF OREGON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035534823     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X01000642     Document Type: Article

References (20)

1. 1. G. E. Bredon. Topology and Geometry, Graduate Texts in Mathematics. No. 139. Springer-Verlag, 1993.
2. 2. L. G. Brown, Stable isomorphism of hereditary subalgebras of C*-algebras, Pacific J. Math. 71 (1977), 335-348.
3. 3. D. J. Collins and H. Zieschang, Combinatorial group theory and fundamental groups. in Algebra VII. eds. A. N. Parshin and I. R. Shafarevich, Encycl. Math. Sci., Vol. 58, Springer-Verlag, 1993 pp. 1-166.
4. 4. A. Connes, A factor not anti-isomorphic to itself, Ann. Math. 101 (1975), 536-554.
5. 5. A. Connes, Sur la classification des facteurs de type II, C. R. Acad. Sci. Paris Ser. A 281 (1975), 13-15.
6. 6. M. Dǎdǎrlat and G. Gong, A classification result for approximately homogeneous C*-algebras of real rank zero, Geom. Funct. Anal. 7 (1997), 646-711.
7. 7. J. Dixmier, Champs continus d'espaces hilbertiens et de C*-algèbres (II), J. Math. Pure Appl. 42 (1963), 1-20.
8. 8. J. Dixmier, C*-Algebras, North-Holland, Amsterdam, New York, Oxford, 1977.
9. 9. G. A. Elliott, G. Gong and L. Li, On the classification of simple inductive limit C*-algebras, II: The isomorphism theorem, preprint.
10. 10. K. R. Goodearl, Notes on Real and Complex C*-Algebras, Shiva Publishing Ltd., Nantwich. 1982.
11. 11. A. Grothendieck, Le groupe de Brauer, in Dix Exposés sur la Cohomologie des Schémas, eds. J. Giraud, A. Grothendieck, S. L. Kleiman and J. Tate, North-Holland, Amsterdam, 1968 pp. 46-66.
12. 12. R. Høegh-Krohn and T. Skjelbred, Classification of C*-algebras admitting ergodic actions of the two-dimensional torus, J. Reine Angew. Math. 328 (1981), 1-8.
13. 13. E. Kirchberg, The classification of purely infinite C*-algebras using Kasparov's theory, preliminary preprint, 3rd draft.
14. 14. G. Kuperberg, Another homogeneous, non-bihomogeneous Peano continuum, Bull. Polish Acad. Sci. Math. 44 (1996), 457-460.
15. 15. H. Lin and N. C. Phillips, Classification of direct limits of even Cuntz-circle algebras, Memoirs Amer. Math. Soc., No. 565, 1995.
16. 16. N. C. Phillips, A classification theorem for nuclear purely infinite simple C*-algebras, Doc. Math. 5 (2000), 49-114, electronic.
17. 17. I. Raeburn and J. L. Taylor, Continuous trace C*-algebras with given Dixmier-Douady class, J. Austral. Math. Soc. Ser. A 38 (1985), 394-407.
18. 18. I. Raeburn and D. P. Williams, Morita Equivalence and Continuous-Trace C*-Algebras, Math. Surveys Monogr., Vol. 60, Amer. Math. Soc., Providence RI, 1998.
19. 19. J. Rosenberg, Continuous-trace algebras from the bundle theoretic point of view, J. Austral. Math. Soc. Ser. A 47 (1989), 368-381.
20. 20. E. H. Spanier, Algebraic Topology, McGraw-Hill, New York, San Francisco, St. Louis, Toronto. London, Sydney, 1966.