A Conditional Expectation on the Tensor Product of Exel-Laca algebras

Authors

  • M. Imanfar
  • A. Pourabbas

DOI:

https://doi.org/10.1285/i15900932v39n1p25

Keywords:

ultragraph $C^*$-algebra, Exel-Laca algebras, conditional expectation

Abstract

We show that the ultragraph $C^*$-algebra $C^*(\mathcal{G}_1\times\mathcal{G}_2)$ can be embedded in $C^*(\mathcal{G}_1)\otimes C^*(\mathcal{G}_2)$ as a $*$-subalgebra. We then use this fact to investigate the existence of a conditional expectation on the tensor product of Exel-Laca algebras onto a certain subalgebra.

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Published

17-09-2019

Issue

Volume 39, Issue 1 (2019)

Section

Articoli

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