Equivariant deformations of homogeneous spaces (Q1368856)

In the same way as the authors constructed \(C^*\)-algebraic deformations of \(C_0(G)\) [ibid. 132, 43-85 (1995; Zbl 0839.22003)], they construct here deformations of compact homogeneous spaces \(G/\Gamma\), equivariant in the sense that the underlying vector space is invariant on the action of \(G\) by left translations on \(C_0(G/\Gamma)\). Motivated by the Heisenberg manifolds, the procedure consists in completing dense subspaces of \(C_0(G/\Gamma)\) in a new multiplication and \(C^*\)-norm, and is general enough to include Rieffel's simplicity results.