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Showing 1 to 1 of 1 for “"Rank constrained homotopy"”.
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Rank constrained homotopies of matrices and the Blackadar-Handelman conjectures on C*-algebras
<p>Rank constrained homotopies of matrices:</p> <p>For any <em>n ≥ k ≥ l</em> ∈ N, let <em>S</em>(<em> n,k,l</em>) be the set of all non-negative definite matrices <em>a</em> ∈ <em>Mn</em>(C) with <em>l</em> ≤ rank <em>a ≤ k</em>. We investigate homotopy equivalence of continuous maps from a …