Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591514 | Journal of Functional Analysis | 2011 | 24 Pages |
Abstract
We show that there is a one-to-one correspondence between compact quantum subgroups of a co-amenable locally compact quantum group G and certain left invariant C⁎-subalgebras of C0(G). We also prove that every compact quantum subgroup of a co-amenable quantum group is co-amenable. Moreover, there is a one-to-one correspondence between open subgroups of an amenable locally compact group G and non-zero, invariant C⁎-subalgebras of the group C⁎-algebra .
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