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Alfsen-Shultz theorem

Contents

Idea

The theorem of (Alfsen-Shultz 78) says that two C*-algebras have isomorphic state spaces precisely if as Jordan algebras they are isomorphic.

This is to some extent a Jordan algebra-analog of the Gelfand-Naimark theorem.

Other theorems on the foundations and interpretation of quantum mechanics include

References

See also

  • Frederic Shultz, Dual maps of Jordan homomorphisms and ∗-homomorphisms between C *C^\ast-algebras, Pacific J. Math. Volume 93, Number 2 (1981), 435-441 (Euclid)
Revised on January 11, 2014 13:11:23 by Urs Schreiber (89.204.139.199)