Ações e representações de semigrupoides inversos

Thaísa Raupp Tamusiunas; Wesley Gonçalves Lautenschlaeger

doi:10.35819/remat2023v9i1id6174

Autores/as

Thaísa Raupp Tamusiunas Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, RS, Brasil https://orcid.org/0000-0002-6666-8623
Wesley Gonçalves Lautenschlaeger Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, RS, Brasil https://orcid.org/0000-0003-3713-5147

DOI:

https://doi.org/10.35819/remat2023v9i1id6174

Palabras clave:

Grupoide, Semigrupoide Inverso, Acciones de Semigrupoide Inverso, Representaciones de Semigrupoide Inverso

Resumen

Mostraremos que existe una correspondencia exacta entre acciones parciales de un grupoide G sobre un conjunto X y acciones de semigrupoide inverso del semigrupoide inverso de Exel S(G) sobre X. Nosotros también definimos representaciones de semigrupoide inverso en relación a un espacio de Hilbert H, así como el C*-álgebra grupoide parcial de Exel C*_p(G), y demostramos que existe una correspondencia exacta entre representaciones parciales de grupoide de G sobre H, representaciones de semigrupoide inverso de S(G) sobre H y representaciones de C*-álgebra de C*_p(G) sobre H.

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Biografía del autor/a

Thaísa Raupp Tamusiunas, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, RS, Brasil

http://lattes.cnpq.br/69381335287179622
Wesley Gonçalves Lautenschlaeger, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, RS, Brasil

http://lattes.cnpq.br/72288035613464011

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