Operator algebras for multivariable dynamics

Let X be a locally compact Hausdorff space with n proper continuous self maps σi : X → X for 1 ≤ i ≤ n. To this we associate two conjugacy operator algebras which emerge as the natural candidates for the universal algebra of the system, the tensor algebra A(X, τ) and the semicrossed product C0(X)×τ Fn . We develop the necessary dilation theory for both models. In particular, we exhibit an expli...

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Operator Algebras for Multivariable Dynamics Kenneth

Let X be a locally compact Hausdorff space with n proper continuous self maps τ i : X → X for 1 ≤ i ≤ n. To this we associate various topological conjugacy algebras; and two emerge as the natural candidates for the universal algebra of the system, the tensor algebra A(X, τ) and the semicrossed product C 0 (X) × τ F + n. The C*-envelope of A(X, τ) is the Cuntz-Pimsner algebra C * (X, τ) as defin...

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Se p 20 07 Operator algebras for multivariable dynamics

Let X be a locally compact Hausdorff space with n proper continuous self maps σi : X → X for 1 ≤ i ≤ n. To this we associate two conjugacy operator algebras which emerge as the natural candidates for the universal algebra of the system, the tensor algebra A(X, τ) and the semicrossed product C0(X)×τ Fn . We develop the necessary dilation theory for both models. In particular, we exhibit an expli...

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Ja n 20 07 OPERATOR ALGEBRAS FOR MULTIVARIABLE DYNAMICS KENNETH

Let X be a locally compact Hausdorff space with n proper continuous self maps τ i : X → X for 1 ≤ i ≤ n. To this we associate various topological conjugacy algebras; and two emerge as the natural candidates for the universal algebra of the system, the tensor algebra A(X, τ) and the semicrossed product C 0 (X) × τ F + n. The C*-envelope of A(X, τ) is the Cuntz-Pimsner algebra C * (X, τ) as defin...

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2 1 Se p 20 07 Operator algebras for multivariable dynamics

Let X be a locally compact Hausdorff space with n proper continuous self maps σi : X → X for 1 ≤ i ≤ n. To this we associate two conjugacy operator algebras which emerge as the natural candidates for the universal algebra of the system, the tensor algebra A(X, τ) and the semicrossed product C0(X)×τ Fn . We develop the necessary dilation theory for both models. In particular, we exhibit an expli...

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Operator algebras for multivariable dynamics

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