Xiao Chun FANG,Rong CHENG, Bo
This paper is about the C~*-algebras of possibly row-infinite directed graphs.
For a possibly row-infinite directed graph E, we introduce the set s(μ,ν), by which
the strong operator topology on the row-infinite vertices is algebraically represented.
Moreover, a *-algebra H_E with rich structure is constructed, by which the existence of
the universal C~*-algebra generated by Cuntz-Krieger E-family {s_e, p_ν} is proved. We
also proved that the H_E and C~*(E) are the isomorphism invariants of E.