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Factorization problems in the invertible group of a homogeneous<i>C</i><sup>∗</sup>-algebra

Factorization problems in the invertible group of a homogeneous<i>C</i><sup>∗</sup>-algebra

Let X be a compact metric space of dimension d.In previous work, we have shown that for all sufficiently large n, every element of the identity component Uo(C(X) 0 M n ) of the unitary group U(C(X)®M n ) is a product of at most 4 exponentials of skewadjoint elements.On …