The matrix type of purely infinite simple Leavitt path algebras

Details The matrix type of purely infinite simple Leavitt path algebras The matrix type of purely infinite simple Leavitt path algebras

2009-09-17

arxiv.org/abs/0909.3325v2

Mathematics

Rings and Algebras

submitted version; group theory lemmas streamlined; 6 pages

Scientific paper

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 $M_c(R)\cong M_d(R)$, in terms of the order
of $[1_R]$ in the Grothendieck group $K_0(R)$.

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