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arXiv · 2607.15539

Notes on universal C*-algebras

Gilles G. de Castro
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Abstract

In these notes, we explain in details the construction of the universal C*-algebra as done by Blackadar, starting with the construction of the free *-algebra. At the end, we explain the extension done by Boava and the author to include relations described using the strong operator topology. As an example, we show that a graph C*-algebra can be defined using infinite sums.

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Gilles G. de Castro. 2026-07-17. Notes on universal C*-algebras. https://arxiv.org/abs/2607.15539

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