Small eigenvalue variation and real rank zero

Pacific Journal of Mathematics

Volumn 175, Issue 1, 1996, Pages 47-59

  Bratteli, Ola ^a   Elliott, George A ^b,c  

^a UNIVERSITY OF OSLO   (Norway)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

^c UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040834380     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1996.175.47     Document Type: Article

References (13)

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2. B. Blackadar, M. Dǎdǎrlat, and M. Rørdam, The real rank of inductive limit C*-algebras, Math. Scand., 69 (1991), 211-216.
3. O. Bratteli, G.A. Elliott, D.E. Evans, and A Kishimoto On the classification of C*-algebras of real rank zero, III: The infinite case, Operator Algebras and their Applications (editors, P.A. Fillmore and J.A. Mingo), Fields Institute Communications, American Mathematical Society, to appear.
4. M.-D. Choi and G.A. Elliott, Density of the self-adjoint elements with finite spectrum in an irrational rotation C*-algebra, Math. Scand., 167 (1990), 73-86.
5. M. Dǎdǎrlat, G. Nagy, A. Némethi, and C. Pasnicu, Reduction of topological stable rank in inductive limits of C* -algebras, Pacific J. Math., 153 (1992), 267-276.
6. G.A. Elliott, On the classification of C*-algebras of real rank zero, J. Reine Angew. Math., 443 (1993), 179-219.
7. _, A classification of certain simple C*-algebras, Quantum and Non-Commutative Analysis (editors, H. Araki et al.), Kluwer, Dordrecht, 1993, 373-385.
8. G.A. Elliott and G. Gong, On the classification of C*-algebras of real rank zero, II, Ann. of Math., to appear.
9. R. Engelking, Dimension Theory, North Holland, Amsterdam, 1978.
10. D. Husemoller, Fibre Bundles, McGraw-Hill, New York, 1966.
11. E. Michael, Continuous selections II, Ann. of Math., 164 (1956), 562-580.
12. K.H. Stevens, The classification of certain non-simple approximate interval algebras, Ph.D. thesis, University of Toronto, 1994.
13. H. Su, On the classification of C*-algebras of real rank zero: inductive limits of matrix algebras over non-Hausdorff graphs, Ph.D. thesis, University of Toronto, 1992, and Memoirs Amer. Math. Soc., 547 (1995).