Operator Algebras for Multivariable Dynamics is popular PDF and ePub book, written by Kenneth R. Davidson in 2011, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Operator Algebras for Multivariable Dynamics can be Read Online from any device for your convenience.
Operator Algebras for Multivariable Dynamics Book PDF Summary
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.
Detail Book of Operator Algebras for Multivariable Dynamics PDF
- Author : Kenneth R. Davidson
- Release : 01 October 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821853023
- Genre : Mathematics
- Total Page : 68 pages
- Language : English
- PDF File Size : 14,6 Mb
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