Matsumoto \(K\)-groups associated to certain shift spaces
type: Item
instance of: scholarly article
title: Matsumoto \(K\)-groups associated to certain shift spaces
zbMATH Open document ID: 1062.37004
author: Toke Meier Carlsen
author: Søren Eilers
published in: Documenta Mathematica
publication date: 2005-03-16T00:00:00Z
full work available at URL: https://eudml.org/doc/124625
full work available at URL: 30.html
review text: Conditions are found that ensure the first cohomology group of a shift space is a quotient of the \(K_0\) group of \textit{K. Matsumoto} [Doc. Math., J. DMV 4, 285--340 (1999; Zbl 0926.37002)]; under additional conditions the \(K_0\) group is described using the first cohomology group and additional data coming from distinguished elements of the shift. The conditions are shown to be invariant under flow equivalence, and are tested for a wide class of shifts; as a result it is shown that the \(K_0\) group and the first cohomology group are isomorphic for Sturmian shift spaces.
reviewed by: Thomas B. Ward
Mathematics Subject Classification ID: 37B10
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 46L60
Mathematics Subject Classification ID: 19K99
zbMATH DE Number: 2146817
zbMATH Keywords: shift spaces
zbMATH Keywords: dimension group
zbMATH Keywords: cohomology
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2146817