A spinning anti-de Sitter wormhole

We construct a (2 + 1)-dimensional spacetime of constant curvature whose spatial topology is that of a torus with one asymptotic region attached. It is also a black hole whose event horizon spins with respect to infinity. An observer entering the hole necessarily ends up at a `singularity'; there are no inner horizons. In the construction we take the quotient of (2 + 1)-dimensional anti-de Sitter space by a discrete group . A key part of the analysis proceeds by studying the action of on the boundary of the spacetime.