Toeplitz-Composition C*-Algebras

By Thomas L. Kriete, Barbara D. Maccluer, Jennifer Moorhouse. 2006

47 citations recorded by the source corpus.

Let $\zeta$ and $\eta$ be distinct points on the unit circle and suppose that $\phi$ is a linear-fractional self-map of the unit disk D, not an automorphism, with $\phi(\zeta)=\eta$. We describe the C*-algebra generated by the associated composition operator $C_{\phi}$ and the shift operator, acting on the Hardy space on D.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/69bda23fbc32eb021b223ec5f739fcbd24dddbb8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Barbara D. Maccluer
2. Rachel J. Weir
3. Katherine C. Heller

In Applied Mathematics

1. Barbara D. Maccluer
2. Rachel J. Weir
3. Katherine C. Heller

Citations in the corpus

• Compact Differences of Composition Operators in Several Variables (2010, background): “Recently there has been considerable interest in studying algebras of composition operators, often modulo the ideal of compact operators (see, for example, [5], [6], [8], [9], [10]).”