Hecke algebras associated with induced representations (Q1598507)

Let \(G\) be a group with a subgroup \(H\) and let \(\sigma\) be a unitary representation of \(H\) on a Hilbert space. The author defines the Hecke-von Neumann algebra \({\mathcal L}(G,H,\sigma)\) associated with the given triple. It is proved that when \(\sigma\) is finite dimensional, \({\mathcal L}(G,H,\sigma)\) can be seen as a corner algebra of the tensor product of the group von Neumann algebra of a locally compact group and a matrix algebra.