Locally compact topologies on a group and the corresponding continuous irreducible representations
Locally compact topologies on a group and the corresponding continuous irreducible representations
It is shown that two different topologies on a group G both of which make it into a locally compact group, usually give rise to different continuous irreducible unitary representations.To be more precise: If the continuous irreducible unitary representations of G coincide for the two topologies, then these topologies are …