C*-Algebra of Cancellative Semigroupoids

Authors

  • Bahman Tabatabaie

DOI:

https://doi.org/10.30495/jme.v0i0.43

Keywords:

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

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.

Author Biography

Bahman Tabatabaie

Department of Mathematics College of Sciences Shiraz University Shiraz 71454, Iran

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Published

2009-03-02

Issue

Section

Vol. 3, No. 2 (2009)