Non-Commutative Group Duality and the Kubo-Martin-Schwinger Condition

  • Masamichi Takesaki


Given a C[1]-algebra A equipped with an action a of a locally compact group G, a necessary and sufficient condition for an α-invariant State ω on A to satisfy the Kubo-Martin-Schwinger condition with respect to a suitable one parameter subgroup of G is formulated in terms of a w*-closed right translation invariant isomorphism of a w*-dense subalgebra D of the Fourier- Stieltjes algebra B(G) into B(G) itself.


Compact Group Duality Theorem Continuous Homomorphism Positive Definite Function Parameter Subgroup 


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Copyright information

© Springer-Verlag/Wien 1980

Authors and Affiliations

  • Masamichi Takesaki
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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