A topological hypergroup \(H\) generalizes in many ways topological groups. In a topological hypergroup, no algebraic operation is assumed on \(H\), most of the results are obtained via the convolution algebra defined on the vector space of Radon measures \(M(H)\). To extend results from groups to hypergroups authors usually make some mild additional assumptions. This paper addresses the von Neumann algebra \(VN(H)\) and its dual object, when \(H\) is an ultraspherical hypergroups, that is, a hypergroup with characters defined by ultraspherical polynomials. If \(H\) is a hypergroup, \(A(H)\) denotes the Fourier algebra corresponding to \(H\). The set of all uniformly continuous functionals on \(A(H)\) is denoted by \(VN(H)\) also referred to as the von Neumann algebra of~$H$. The authors establish that \(VN(H)\) is a \(C^*\)-algebra under a \(C^*\)-homomorphism. In addition, the authors prove that if \(A(H)\) has a bounded identity, then it is Arens regular if and only if $H$ is finite. Examples are provided to illustrate difficult concepts.