Classifying $C^*$-algebras with both finite and infinite subquotients

Details Classifying $C^*$-algebras with both finite and infinite subquotients Classifying $C^*$-algebras with both finite and infinite subquotients

2010-09-24

arxiv.org/abs/1009.4778v1

Mathematics

Operator Algebras

Scientific paper

We give a classification result for a certain class of $C^{*}$-algebras
$\mathfrak{A}$ over a finite topological space $X$ in which there exists an
open set $U$ of $X$ such that $U$ separates the finite and infinite
subquotients of $\mathfrak{A}$. We will apply our results to $C^{*}$-algebras
arising from graphs.

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