2013Illinois Journal of MathematicsOpen access

Realizing dimension groups, good measures, and Toeplitz factors

David Handelman

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Abstract

Motivated by connections between dimension groups and good measures or minimal actions on Cantor sets (especially Töplitz), we find realizations of classes of dimension groups as limits of primitive matrices all of which have equal column sums, or equal row sums.

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Motivated by connections between dimension groups and good measures or minimal actions on Cantor sets (especially Töplitz), we find realizations of classes of dimension groups as limits of primitive matrices all of which have equal column sums, or equal row sums.

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Available abstract

Motivated by connections between dimension groups and good measures or minimal actions on Cantor sets (especially Töplitz), we find realizations of classes of dimension groups as limits of primitive matrices all of which have equal column sums, or equal row sums.

Key concepts: Mathematics, Dimension (graph theory), Toeplitz matrix, Pure mathematics, Group (periodic table), Column (typography), Combinatorics, Packing dimension

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