INFINITE-SUM RELATIONS IN C*-ALGEBRAS

Prelegent(ci)

GILLES GONÇALVES DE CASTRO

Afiliacja

Universidade Federal de Santa Catarina, Brazil

Termin

29 marca 2023 17:15

Informacje na temat wydarzenia

405 IMPAN & ZOOM

Seminarium

North Atlantic Noncommutative Geometry Seminar

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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.)

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