| eBook ISBN: | 978-1-4704-0596-0 |
| Product Code: | MEMO/209/982.E |
| List Price: | $63.00 |
| MAA Member Price: | $56.70 |
| AMS Member Price: | $37.80 |
| eBook ISBN: | 978-1-4704-0596-0 |
| Product Code: | MEMO/209/982.E |
| List Price: | $63.00 |
| MAA Member Price: | $56.70 |
| AMS Member Price: | $37.80 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 209; 2011; 53 ppMSC: Primary 47; Secondary 46; 37
Let \(X\) be a locally compact Hausdorff space with \(n\) proper continuous self maps \(\sigma_i:X \to X\) for \(1 \le i \le n\). To this the authors associate two conjugacy operator algebras which emerge as the natural candidates for the universal algebra of the system, the tensor algebra \(\mathcal{A}(X,\tau)\) and the semicrossed product \(\mathrm{C}_0(X)\times_\tau\mathbb{F}_n^+\).
They develop the necessary dilation theory for both models. In particular, they exhibit an explicit family of boundary representations which determine the C*-envelope of the tensor algebra.
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Table of Contents
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Chapters
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1. Introduction
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2. Dilation Theory
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3. Recovering the Dynamics
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4. Semisimplicity
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5. Open Problems and Future Directions
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Let \(X\) be a locally compact Hausdorff space with \(n\) proper continuous self maps \(\sigma_i:X \to X\) for \(1 \le i \le n\). To this the authors associate two conjugacy operator algebras which emerge as the natural candidates for the universal algebra of the system, the tensor algebra \(\mathcal{A}(X,\tau)\) and the semicrossed product \(\mathrm{C}_0(X)\times_\tau\mathbb{F}_n^+\).
They develop the necessary dilation theory for both models. In particular, they exhibit an explicit family of boundary representations which determine the C*-envelope of the tensor algebra.
-
Chapters
-
1. Introduction
-
2. Dilation Theory
-
3. Recovering the Dynamics
-
4. Semisimplicity
-
5. Open Problems and Future Directions
