Notes on universal C$^*$-algebras
Volume 130 / 2026
Banach Center Publications 130 (2026), 15-28
MSC: Primary 46L05; Secondary 16S10, 46L55, 16S88
DOI: 10.4064/bc130-1
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.
