Geodesic
Matsumoto $K$-groups associated to certain shift spaces
Documenta mathematica, Tome 9 (2004), pp. 639-671
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In [24] Matsumoto associated to each shift space (also called a subshift) an Abelian group which is now known as Matsumoto's K0​-group. It is defined as the cokernel of a certain map and resembles the first cohomology group of the dynamical system which has been studied in for example [2], [28], [13], [16] and [11] (where it is called the dimension group).
DOI : 10.4171/dm/182
Classification : 19K99, 37B10
Mots-clés : symbolic dynamics, subshifts, shift spaces, matsumoto's K-groups, dimension groups, cohomology, special elements 
@article{10_4171_dm_182,
     author = {Toke Meier Carlsen and S{\o}ren Eilers},
     title = {Matsumoto $K$-groups associated to certain shift spaces},
     journal = {Documenta mathematica},
     pages = {639--671},
     year = {2004},
     volume = {9},
     doi = {10.4171/dm/182},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/182/}
}
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Toke Meier Carlsen; Søren Eilers. Matsumoto $K$-groups associated to certain shift spaces. Documenta mathematica, Tome 9 (2004), pp. 639-671. doi: 10.4171/dm/182

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