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Algebraic K-systems

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Abstract

Following Emch, we define an algebraic K-system to be an infinite chain of algebras imbedded one into the other and connected by a one-parameter automorphism group. We consider topological consequences as well as convergence properties of states. Finally, we discuss the connection of this concept with Jones' index theory.

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Narnhofer, H., Thirring, W. Algebraic K-systems. Lett Math Phys 20, 231–250 (1990). https://doi.org/10.1007/BF00398366

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