1. Operator algebras and the conjugacy of transformations
- Author
-
Thomas Hoover and Don Hadwin
- Subjects
Discrete mathematics ,Pure mathematics ,Jordan algebra ,Mathematics::Dynamical Systems ,Non-associative algebra ,Quadratic algebra ,Mathematics::Group Theory ,Conjugacy class ,Interior algebra ,Operator algebra ,Algebra representation ,Nest algebra ,Analysis ,Mathematics - Abstract
A family of algebras is associated with each continuous map on a compact Hausdorff space. These algebras are called conjugacy algebras. It is shown that two continuous maps are conjugate if and only if some conjugacy algebra of one is isomorphic to some conjugacy for the other. Numerous examples of conjugacy algebras are provided.
- Published
- 1988
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