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- W2949272814 abstract "Given a unital C*-algebra A, an injective endomorphism alpha:A --> A preserving the unit, and a conditional expectation E from A to the range of alpha we consider the crossed-product of A by alpha relative to the transfer operator L=alpha^{-1}E. When E is of index-finite type we show that there exists a conditional expectation G from the crossed-product to A which is unique under certain hypothesis. We define a gauge action on the crossed-product algebra in terms of a central positive element h and study its KMS states. The main result is: if h>1 and E(ab)=E(ba) for all a,b in A (e.g. when A is commutative) then the KMS_beta states are precisely those of the form psi = phi G, where phi is a trace on A satisfying the identity phi(a) = phi(L(h^{-beta}ind(E)a)), where ind(E) is the Jones-Kosaki-Watatani index of E." @default.
- W2949272814 created "2019-06-27" @default.
- W2949272814 creator A5033403274 @default.
- W2949272814 date "2001-05-24" @default.
- W2949272814 modified "2023-09-27" @default.
- W2949272814 title "Crossed-Products by Finite Index Endomorphisms and KMS states" @default.
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