Abstract. We represent a $C^*$-algebra generated by partial isometries having commuting range and support projections as the quotient of a partial crossed product of an abelian $C^*$-algebra and a free group. In particular, we get such representations for certain Cuntz--Krieger type algebras. Under special conditions the quotient can be represented directly as a partial crossed product of an abelian $C^*$-algebra and a quotient of the free group.
AMS Subject Classification
(1991): 46L05, 46L55
Received June 16, 2004, and in revised form August 2, 2005. (Registered under 5892/2009.)