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Paper   IPM / M / 15549
School of Mathematics
  Title:   The commutative core of a Leavitt path algebra
  Author(s):  Alireza Nasr-Isfahani (Joint with C. Gil Canto)
  Status:   Published
  Journal: J. Algebra
  Vol.:  511
  Year:  2018
  Pages:   227-248
  Supported by:  IPM
For any unital commutative ring R and for any graph E, we identify the commutative core of the Leavitt path algebra of E with coefficients in R, which is a maximal commutative subalgebra of the Leavitt path algebra. Furthermore, we are able to characterize injectivity of representations which gives a generalization of the Cuntz–Krieger uniqueness theorem.

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