Realising the Toeplitz algebra of a higher-rank graph as a Cuntz-Krieger algebra

Yosafat E. P. Pangalela

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arXiv · 1507.07610

Realising the Toeplitz algebra of a higher-rank graph as a Cuntz-Krieger algebra

Yosafat E. P. Pangalela

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Abstract

For a row-finite higher-rank graph Λ, we construct a higher-rank graph TΛ such that the Toeplitz algebra of Λ is isomorphic to the Cuntz-Krieger algebra of TΛ. We then prove that the higher-rank graph TΛ is always aperiodic and use this fact to give another proof of a uniqueness theorem for the Toeplitz algebras of higher-rank graphs.

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BibTeX RIS

Yosafat E. P. Pangalela. 2015-07-27. Realising the Toeplitz algebra of a higher-rank graph as a Cuntz-Krieger algebra. https://arxiv.org/abs/1507.07610

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