$C^∗$-envelopes of tensor algebras for multivariable dynamics
Idioma
en
Article de revue
Este ítem está publicado en
Proc. Edinb. Math. Soc. 2010p. Proc. Edinb. Math. Soc. (2) 53 (2010), no. 2, 333-351.
Resumen en inglés
We give a new very concrete description of the $C^∗$- envelope of the tensor algebra associated to multivariable dynamical system. In the surjective case, this C*-envelope is described as a crossed product by an endomorphism, ...Leer más >
We give a new very concrete description of the $C^∗$- envelope of the tensor algebra associated to multivariable dynamical system. In the surjective case, this C*-envelope is described as a crossed product by an endomorphism, and as a groupoid $C^∗$-algebra. In the non-surjective case, it is a full corner of a such an algebra. We also show that when the space is compact, then the $C^∗$-envelope is simple if and only if the system is minimal.< Leer menos
Orígen
Importado de HalCentros de investigación