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Notes on universal C*-algebras

2026/07/17 by Gilles G. de Castro
#math.OA #math.RA

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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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