$C^*$-algebras coming from some buildings

Mathematics – Combinatorics

Scientific paper

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Scientific paper

We construct compact polyhedra with triangular faces whose links are
generalized 3-gons. They are interesting compact spaces covered by Euclidean
buildings of type $A_2$. Those spaces give us two-dimensional subshifts, which
can be used to construct some $C^*$-algebras.

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