Idempotent states on locally compact quantum groups II

Abstract

Correspondence between idempotent states and expected right-invariant subalgebras is extended to non-coamenable, non-unimodular locally compact quantum groups; in particular left convolution operators are shown to automatically preserve the right Haar weight.

v3: 10 pages. Final version. Minor changes and a correction to the formula defining symmetric subalgebras. To appear in the Quarterly Journal of Mathematics