On $K_0$-Groups for Substitution Tilings

Details On $K_0$-Groups for Substitution Tilings On $K_0$-Groups for Substitution Tilings

1995-03-02

arxiv.org/abs/cond-mat/9503017v2

Physics

Condensed Matter

14 pages including 4 figures, LaTex

Scientific paper

The group $C(\Om,\Z)/\E$ is determined for tilings which are invariant under a
locally invertible primitive \sst\ which forces its \saum. In case the tiling
may be obtained by the generalized dual method from a regular grid this group
furnishes part of the $K_0$-group of the algebra of the tiling. Applied to
Penrose tilings one obtains $K_0(\A_\tl)=\Z^8\oplus\Z$.

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