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Abstract  

We compute the maximal symmetric ring of quotients of infinite dimensional path algebras that can be approximated by finite dimensional path algebras.

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Abstract  

Let R denote the purely infinite simple unital Leavitt path algebra L(E). We completely determine the pairs of positive integers (c, d) for which there is an isomorphism of matrix rings Mc(R) ≌ Md(R), in terms of the order of [1R] in the Grothendieck group K 0(R).

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