The Leavitt path algebra of a graph

Abstract

For any row-finite graph E and any field K we construct the Leavitt path algebra L(E) having coefficients in K . When K is the field of complex numbers, then L(E) is the algebraic analog of the Cuntz Krieger algebra C(E) described in [8]. The matrix rings Mn(K) and the Leavitt algebras L(1, n) appear as algebras of the form L(E) for various graphs E. In our… (More)

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