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Crossed products of Toeplitz algebras and the $N$-adic rationals

Volume 148 / 2017

Catalin Rada Colloquium Mathematicum 148 (2017), 39-45 MSC: Primary 46L35; Secondary 46L55. DOI: 10.4064/cm6569-11-2016 Published online: 9 February 2017


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 $T_{G_{+}}\rtimes _{\alpha _{\chi }}\mathbb {Z}$.


  • Catalin RadaDepartment of Mathematics and Statistics
    University of Ottawa
    585 King Edward Ave.
    Ottawa, ON, K1N 6N5, Canada

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