The Calkin algebra has outer automorphisms

Duke Mathematical Journal

Volumn 139, Issue 1, 2007, Pages 185-202

  Christopher Phillips, N ^a   Weaver, N I K ^b  

^a UNIVERSITY OF OREGON   (United States)

^b WASHINGTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34548118680     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-07-13915-2     Document Type: Article

References (19)

1. C. A. AKEMANN and G. K. PEDERSEN, Central sequences and inner derivations of separable C*-algebras, Amer. J. Math. 101 (1979), 1047-1061. MR 0546302
2. W. ARVESON, Notes on extensions of C*-algebras, Duke Math. J. 44 (1977), 329-355. MR 0438137
3. R. G. BARTLE and L. M. GRAVES, Mappings between function spaces, Trans. Amer. Math. Soc. 72 (1952), 400-413. MR 0047910
4. L. G. BROWN, R. G. DOUGLAS, and P. A. FILLMORE, "Unitary equivalence modulo the compact operators and extensions of C*-algebras" in Proceedings of a Conference on Operator Theory (Halifax, Nova Scotia, 1973), Lecture Notes in Math. 345, Springer, Berlin, 1973, 58-128. MR 0380478
5. _, Extensions of C*-algebras and K-homology, Ann. of Math. (2) 105 (1977), 265-324. MR 0458196
6. G. ELLIOTT, personal communication, June 2006.
7. I. FARAH, All automorphisms of the Calkin algebra are inner, preprint, arXiv:0705.3085v1 [math.OA]
8. A. IOANA, J. PETERSON, and S. POPA, Amalgamated free products of w-rigid factors and calculation of their symmetry groups, preprint, arXiv:math/0505589v5 [math.OA]
9. G. KUPERBERG, personal communication, June 1993.
10. V. MANUILOV and K. THOMSEN, E-theory is a special case of K K-theory, Proc. London Math. Soc. (3) 88 (2004), 455-478. MR 2032515
11. J. MCCARTHY, personal communication, February 2006.
12. W. RUDIN, Homogeneity problems in the theory of Cech compactifications, Duke Math. J. 23 (1956), 409-419. MR 0080902
13. S. SAKAI, "Pure states on C*-algebras" in Advances in Quantum Dynamics (South Hadley, Mass., 2002), Contemp. Math. 335, Amer. Math. Soc., Providence, 2003, 247-251. MR 2029629.
14. S. SHELAH, Proper Forcing, Lecture Notes in Math. 940, Springer, Berlin, 1982. MR 0675955
15. S. SHELAH and J. STEPRĀNS, PFA implies all automorphisms are trivial, Proc. Amer. Math. Soc. 104 (1988), 1220-1225. MR 0935111
16. Ş. STRǍTILǍ and L. ZSIDÓ, Lectures on Von Neumann Algebras, rev. ed., Abacus, Tunbridge Wells, England, 1979. MR 0526399
17. B. VELIČKOVIĆ, OCA and automorphisms of P(ω)/fin, Topology Appl. 49 (1993), 1-13. MR 1202874
18. D. VOICULESCU, A non-commutative Weyl-von Neumann theorem, Rev. Roumaine Math. Pures Appl. 21 (1976), 97-113. MR 0415338
19. N. WEAVER, Set theory and C*-algebras, Bull. Symbolic Logic 13 (2007), 1-20. MR 2300900