ON STRONG SHIFT EQUIVALENCE OF HILBERT C^{*}-BIMODULES

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We will study a notion of strong shift equivalence between two Hilbert C^{*}-bimodules as a generalization of strong shift equivalence between two nonnegative matrices. We will prove that if two finite projective Hilbert C^{*}-bimodules are strong shift equivalent, the gauge actions of the C^{*}-algebras of the Hilbert C^{*}-bimodules are stably outer conjugate. Hence the K-theoretic groups of the C^{*}-algebras of strong shift equivalent Hilbert C^{*}-bimodules are invariant.

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