Fixed Point Composition and Toeplitz-Composition C*-algebras

Katie S. Quertermous

Let $\phi$ be a linear-fractional, non-automorphism self-map of $\mathbb{D}$ that fixes $\zeta \in \mathbb{T}$ and satisfies ${\phi }^{\prime }(\zeta )\ne 1$ and consider the composition operator $C…