ACTA issues

K-theory for the simple $C^*$-algebra of the Fibonacci--Dyck shift

Kengo Matsumoto

Acta Sci. Math. (Szeged) 83:1-2(2017), 177-200
73/2015

Abstract. The Fibonacci--Dyck shift $D_F$ is a subsystem of the Dyck shift $D_2$ constrained by the Fibonacci matrix $ F = \bigl[\begin{smallmatrix} 1 & 1 1 & 0



DOI: 10.14232/actasm-015-323-0

AMS Subject Classification (1991): 46L80, 37B40, 46L55, 37B10

Keyword(s): $C^*$-algebra, K-theory, Cuntz--Krieger algebra, $\lambda $-graph system, Dyck shift, Fibonacci--Dyck shift, subshift


Received September 25, 2015, and in revised form April 23, 2016. (Registered under 73/2015.)