Premium
Abelian core of graph algebras
Author(s) -
Nagy Gabriel,
Reznikoff Sarah
Publication year - 2012
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdr073
Subject(s) - mathematics , abelian group , subalgebra , vertex (graph theory) , combinatorics , vertex operator algebra , discrete mathematics , graph , pure mathematics , jordan algebra , algebra over a field , algebra representation
We introduce a certain natural abelian C *‐subalgebra of a graph C *‐algebra, which has functorial properties that can be used for characterizing injectivity of representations of the ambient C *‐algebra. In particular, a short proof of the Cuntz–Krieger Uniqueness Theorem, for graphs that may have loops without entries, is given.