Subgroups and strictly closed invariant C*-subalgebras

Pekka Salmi

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arXiv · 1110.5459

Subgroups and strictly closed invariant C*-subalgebras

Pekka Salmi

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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.

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Pekka Salmi. 2011-10-25. Subgroups and strictly closed invariant C*-subalgebras. https://arxiv.org/abs/1110.5459

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