Coideals, Quantum Subgroups and Idempotent States
Coideals, Quantum Subgroups and Idempotent States
We establish a one-to-one correspondence between idempotent states on a locally compact quantum group G and integrable coideals in the von Neumann algebra L∞(G) that are preserved by the scaling group. In particular, we show that there is a one-to-one correspondence between idempotent states on G and ψG-expected left-invariant von …