C*-algebras of tilings with infinite rotational symmetry
C*-algebras of tilings with infinite rotational symmetry
复制标题
具有无限旋转对称性的平铺的 C*-代数
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
Michael F. Whittaker
中科院分区：
文献类型：
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作者：
Michael F. Whittaker
A tiling with infinite rotational symmetry, such as the Conway–
Radin Pinwheel Tiling, gives rise to a topological dynamical system to which
an etale equivalence relation is associated. A groupoid ´ C
∗
-algebra for a tiling
is produced and a separating dense set is exhibited in the C
∗
-algebra which
encodes the structure of the topological dynamical system. In the case of a
substitution tiling, natural subsets of this separating dense set are used to de-
fine an AT-subalgebra of the C
∗
-algebra. Finally our results are applied to the
Pinwheel Tiling.
