Geodesic
Derivations and pure states
Glasgow mathematical journal, Tome 18 (1977) no. 1, pp. 73-77

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In this note we point out and discuss a relationship between the following two properties which a C*-algebra A may have:(D) all derivations on A are inner;(P) the set of pure states of A is w*-compact.The relationship is deduced from a comparison of two existing theorems ((I) and (II) below). 
Sproston, J. P. Derivations and pure states. Glasgow mathematical journal, Tome 18 (1977) no. 1, pp. 73-77. doi: 10.1017/S0017089500003050
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