Archbold, RobertRobert, LeonelTikuisis, Aaron2017-08-232017-08-232017-10Archbold, R, Robert, L & Tikuisis, A 2017, 'The Dixmier property and tracial states for C*-algebras', Journal of Functional Analysis, vol. 273, no. 8, pp. 2655-2718. https://doi.org/10.1016/j.jfa.2017.06.0260022-1236http://hdl.handle.net/2164/9199A.T. was partially supported by an NSERC Postdoctoral Fellowship and through the EPSRC grant EP/N00874X/1. Acknowledgements We are grateful to Luis Santiago for helpful discussions at an early stage of this investigation. We would also like to thank the referee for providing helpful comments, which have led to a number of improvements.551029176engC*-algebraDixmier propertytracial statesultrapowerQA75 Electronic computers. Computer scienceEngineering and Physical Sciences Research Council (EPSRC)EP/N00874X/1QA75Journal article10.1016/j.jfa.2017.06.0262738