Geodesic
Crossed products of Toeplitz algebras and the $N$-adic rationals
Catalin Rada1
1 Department of Mathematics and Statistics University of Ottawa 585 King Edward Ave. Ottawa, ON, K1N 6N5, Canada
Colloquium Mathematicum, Tome 148 (2017) no. 1, pp. 39-45.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $G$ be a discrete group and $G_{+}$ be a generating subsemigroup with identity. If $\chi $ is a one-dimensional character of $G$, then it induces an automorphism on $C_{r}^{*}(G)$ and on the Toeplitz algebra $T_{G_{+}}$ associated to $(G,G_{+})$. When $(G,G_{+})$ is the naturally ordered group of $N$-adic rationals, we find complete isomorphism invariants of $T_{G_{+}}\rtimes _{\alpha _{\chi }}\mathbb {Z}$.
DOI : 10.4064/cm6569-11-2016
Keywords: discrete group generating subsemigroup identity chi one dimensional character induces automorphism * toeplitz algebra associated naturally ordered group n adic rationals complete isomorphism invariants rtimes alpha chi mathbb

Catalin Rada 1

1 Department of Mathematics and Statistics University of Ottawa 585 King Edward Ave. Ottawa, ON, K1N 6N5, Canada 
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Catalin Rada. Crossed products of Toeplitz algebras and the $N$-adic rationals. Colloquium Mathematicum, Tome 148 (2017) no. 1, pp. 39-45. doi : 10.4064/cm6569-11-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm6569-11-2016/

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