Corpus ID: 119168613

C*-algebras associated to topological Ore semigroups

  title={C*-algebras associated to topological Ore semigroups},
  author={S. Sundar},
  journal={arXiv: Operator Algebras},
  • S. Sundar
  • Published 2014
  • Mathematics
  • arXiv: Operator Algebras
  • 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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