# C*-algebras associated to topological Ore semigroups

@article{Sundar2014CalgebrasAT, title={C*-algebras associated to topological Ore semigroups}, author={S. Sundar}, journal={arXiv: Operator Algebras}, year={2014} }

Let $G$ be a locally compact group and $P \subset G$ be a closed Ore semigroup containing the identity element. Let $V: P \to B(\clh)$ be a representation such that for every $a \in P$, $V_{a}$ is an isometry and the final projections of $\{V_{a}: a \in P\}$ commute. In this article, we study the $C^{*}$-algebra $\mathcal{W}_{V}(P,G)$, generated by $\{\int f(a)V_{a} da: f \in L^{1}(P)\}$. We show that there exists a universal $C^{*}$-algebra, which admits a groupoid description, of which… CONTINUE READING

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