Bowen-Franks Groups for Bimodal Matrices

Nuno Martins Department of Mathematics, Instituto Superior Técnico, Av. Rovisco Pais, Lisboa, 1049-001, Portugal

Ricardo Severino Department of Mathematics, Universidade do Minho, Campus de Gualtar, Braga, 4710-057, Portugal

J. Sousa Ramos Department of Mathematics, Instituto Superior Técnico, Av. Rovisco Pais, Lisboa, 1049-001, Portugal

From the symbolic description of iterated bimodal maps of the interval, we can associate such maps to square 0, 1 transition matrices, referred as bimodal matrices. We show that the Bowen-Franks group BF ( A ) of a bimodal matrix A is given Z c ] Z d , for some non-negative integers c , d .

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Bowen-Franks Groups for Bimodal Matrices

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