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We introduce a new class of C*-algebras, which is a generalization of both graph algebras and homeomorphism C*-algebras. This class is very large and also very tractable. We prove the so-called gauge-invariant unique; ness theorem and the Cuntz-Krieger uniqueness theorem, and compute the K-groups of our algebras.

A class of \boldmath{$C^*$}-algebras generalizing both graph algebras and homeomorphism \boldmath{$C^*$}-algebras I, fundamental results

A class of \boldmath{$C^$}-algebras generalizing both graph algebras and homeomorphism \boldmath{$C^$}-algebras I, fundamental results