C*-Algebra of Cancellative Semigroupoids

Bahman Tabatabaie

Abstract


In this paper the de¯nition and some properties of semigroupoids are considered. Representations, tight representations, and
universal representations of a cancellative semigroupoid are discussed.
Also, the C*-algebra of a semigroupoid is introduced and it is shown
that source elements transfer to zero by tight representations.

Keywords


C*-algebra, projection, partial isometry, graph theory and representation.

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