Letters in Mathematical Physics

July 1985, Volume 10, Issue 1, pp 29–31 | Cite as

On the existence of KMS states

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• S. L. Woronowicz

Article

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Abstract

A necessary and sufficient condition for the existence of KMS states is formulated in terms of a certain left ideal in the algebraA ⁰ ⊗A.

Keywords

Statistical Physic Group Theory Left Ideal 

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References

1. 1.
   BratteliOla and RobinsonDerek W.,Operator Algebras and Quantum Statistical Mechanics I, Springer-Verlag, Heidelberg, 1979.Google Scholar
2. 2.
   HaagR., KastlerD., and TrychE. B., ‘Pohlmeyer: Stability and Equilibrium States’,Commun. Math. Phys. 38, 173–193 (1974).Google Scholar
3. 3.
   PuszW., and WoronowiczS. L., ‘Passive States and KMS States for General Quantum Systems’,Commun. Math. Phys. 58, 273–290 (1978).Google Scholar
4. 4.
   WoronowiczS. L., ‘On the Purification of Factor States’,Commun. Math. Phys. 28, 221–235 (1972).Google Scholar
5. 5.
   WoronowiczS. L., ‘On the Purification Map’,Commun. Math. Phys. 30, 55–67 (1973).Google Scholar

Copyright information

© D. Reidel Publishing Company 1985

Authors and Affiliations

• S. L. Woronowicz
  • 1

1. 1.Department of Mathematical Methods in PhysicsUniversity of WarsawWarsawPoland