Abstract
In this chapter we will reach our final goal: a characterization of the compact convex sets that are state spaces of C*-algebras. (We will assume our C*-algebras have an identity, but our characterization can easily be adapted for non-unital algebras). We will start with our previous characterization of state spaces of JB-algebras (Theorem 9.38). Then we will add two additional properties that characterize C*-state spaces among state spaces of JB-algebras.
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© 2003 Springer Science+Business Media New York
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Alfsen, E.M., Shultz, F.W. (2003). Characterization of C*-algebra State Spaces. In: Geometry of State Spaces of Operator Algebras. Mathematics: Theory & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0019-2_11
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DOI: https://doi.org/10.1007/978-1-4612-0019-2_11
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6575-7
Online ISBN: 978-1-4612-0019-2
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