On factor states of 𝐶*-algebras and their extensions

Chu, Cho-Ho; Kusuda, Masaharu

doi:10.1090/S0002-9939-96-03026-2

On factor states of $C^*$-algebras and their extensions
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Proc. Amer. Math. Soc. 124 (1996), 207-215 Request permission

Abstract:

We obtain some results on the unique extension of (factor) states of $C^*$-algebras which complement various existing results. Our results also lead to a class of $C^*$-algebras whose states are $\sigma$-convex sums of factor states.

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