Leavitt path algebras of weighted Cayley graphs Cn(S,w)

For a postive integer n and a subset S of Z n , let S = Z n , and w : S → N be a function. The weighted Cayley graph of the cyclic group Z n with respect to S and w is denoted by C n ( S , w ) . We give an explicit description of the Grothendieck group of the Leavitt path algebras of C n ( S , w ) . We also give description of Leavitt path algebras of C n ( S , w ) in some special cases.