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Item Details
| Title:
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OPERATOR ALGEBRAS FOR MULTIVARIABLE DYNAMICS
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| By: |
Kenneth R. Davidson, Elias G. Katsoulis |
| Format: |
Paperback |
| List price:
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£59.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821853023 |
| ISBN 13: |
9780821853023 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 February, 2011 |
| Series: |
Memoirs of the American Mathematical Society 209, 982 |
| Pages: |
53 |
| Description: |
"January 2011, volume 209, number 982 (first of 5 numbers)." |
| Synopsis: |
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.|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. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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