This is an announcement for the paper "A hierarchy of separable commutative Calkin algebras" by Pavlos Motakis, Daniele Puglisi and Despoina Zisimopoulou. Abstract: For specific well founded countably branching trees $\mathcal{T}$ we construct $\mathcal{L}_\infty$ spaces $X_{\mathcal{T}}$. For each such tree $\mathcal{T}$ the Calkin algebra of $X_{\mathcal{T}}$ strongly resembles $C(\mathcal{T})$, the algebra of continuous functions defined on $\mathcal{T}$ and in the case in which $\mathcal{T}$ has finite height, those two algebras are homomorphic. We conclude that for every countable compact metric space $K$ with finite Cantor-Bendixson index there exists a $\mathcal{L}_\infty$ space whose Calkin algebra is isomorphic, as a Banach algebra, to $C(K)$. Archive classification: math.FA Mathematics Subject Classification: 46B03, 46B25, 46B28 Remarks: 28 pages Submitted from: pmotakis@central.ntua.gr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1407.8073 or http://arXiv.org/abs/1407.8073