Subgroups and strictly closed invariant C*-subalgebras
Operator Algebras
2011-10-26 v1
Abstract
We characterise the strictly closed left invariant C*-subalgebras of the C*-algebra C_b(G) of bounded continuous functions on a locally compact group G. On the dual side, we characterise the strictly closed invariant C*-subalgebras of the multiplier algebra of the reduced group C*-algebra C*_r(G) when G is amenable. In both cases, these C*-subalgebras correspond to closed subgroups of G.
Keywords
Cite
@article{arxiv.1110.5459,
title = {Subgroups and strictly closed invariant C*-subalgebras},
author = {Pekka Salmi},
journal= {arXiv preprint arXiv:1110.5459},
year = {2011}
}
Comments
8 pages