Operator Algebras for Multivariable Dynamics.
Davidson, Kenneth R.
Operator Algebras for Multivariable Dynamics. - 1st ed. - 1 online resource (68 pages) - Memoirs of the American Mathematical Society ; v.209 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Contents -- Chapter 1. Introduction -- 1.1. The one variable case -- 1.2. Universal operator algebras -- Chapter 2. Dilation Theory -- 2.1. Dilation for the tensor algebra -- 2.2. Boundary representations and the C*-envelope -- 2.3. C*-correspondences -- 2.4. Dilation and the semi-crossed product -- Chapter 3. Recovering the Dynamics -- 3.1. Fourier series and automatic continuity -- 3.2. Characters and nest representations -- 3.3. Piecewise conjugate multisystems -- 3.4. The main theorem -- 3.5. The converse -- Chapter 4. Semisimplicity -- 4.1. Wandering sets and recursion -- 4.2. Semisimplicity -- Chapter 5. Open Problems and Future Directions -- Bibliography.
9781470405960
Operator algebras.
Multivariate analysis.
Dynamics.
Electronic books.
QA326 -- .D385 2010eb
512/.556
Operator Algebras for Multivariable Dynamics. - 1st ed. - 1 online resource (68 pages) - Memoirs of the American Mathematical Society ; v.209 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Contents -- Chapter 1. Introduction -- 1.1. The one variable case -- 1.2. Universal operator algebras -- Chapter 2. Dilation Theory -- 2.1. Dilation for the tensor algebra -- 2.2. Boundary representations and the C*-envelope -- 2.3. C*-correspondences -- 2.4. Dilation and the semi-crossed product -- Chapter 3. Recovering the Dynamics -- 3.1. Fourier series and automatic continuity -- 3.2. Characters and nest representations -- 3.3. Piecewise conjugate multisystems -- 3.4. The main theorem -- 3.5. The converse -- Chapter 4. Semisimplicity -- 4.1. Wandering sets and recursion -- 4.2. Semisimplicity -- Chapter 5. Open Problems and Future Directions -- Bibliography.
9781470405960
Operator algebras.
Multivariate analysis.
Dynamics.
Electronic books.
QA326 -- .D385 2010eb
512/.556