Fundamental cocycles, Wang tiles, and higher-dimensional shifts of finite type
by
Klaus Schmidt
University of Vienna

Certain topologically mixing two-dimensional shifts of finite type have a `fundamental' 1-cocycle with the property that every continuous 1-cocycle on the shift space with values in a discrete group is continuously cohomologous to a homomorphic image of the fundamental cocycle. These fundamental cocycles are closely connected with representations of the shift space by Wang tilings and the tiling groups of J.H. Conway, J.C. Lagarias and W. Thurston, and they determine the projective fundamental groups of the shift spaces introduced by W. Geller and J. Propp.

Date received: February 17, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cabe-03.