## Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego

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# Aktualności — Wydarzenia

## INFINITE-SUM RELATIONS IN C*-ALGEBRAS

Prelegent: GILLES GONÇALVES DE CASTRO

2023-03-29 17:15

We build a universal C*-algebra using the strong operator topology to describe certain relations. In particular, this allows us to use infinite-sum relations. We show that these algebras have indeed a universal property, and then prove that the Exel-Laca algebras can be defined by considering infinite-sum relations analogous to the Cuntz-Krieger relations. Finally, we give sufficient conditions for when a C*-algebra generated by partial isometries and projections can be described as a universal C*-algebra using only norm relations. (Joint work with G. Boava.)