State Spaces of Jordan Algebras

  • Erik M. Alfsen
  • Frederic W. Shultz
Part of the Mathematics: Theory & Applications book series (MTA)


In this chapter we will discuss properties of the normal state space of JBW-algebras. Since every JB-algebra state space is also the normal state space of a JBW-algebra (Corollary 2.61), these properties also apply to JB-algebra state spaces.


Jordan Algebra Tracial State Minimal Projection Spin Factor Jordan Homomorphism 
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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Erik M. Alfsen
    • 1
  • Frederic W. Shultz
    • 2
  1. 1.Mathematical InstituteUniversity of OsloOsloNorway
  2. 2.Department of MathematicsWellesley CollegeWellesleyUSA

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