Work

Subgroups and strictly closed invariant C*-subalgebras

Year: 2011

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1110.5459

Author: Salmi, Pekka

Institution: University of Oulu

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: University of Leeds, University of Waterloo, Engineering and Physical Sciences Research Council

Awards: G7864283958, Banach algebra and operator space techniques in topological group theory

OpenAlex ID: W1484495694

Cites: 7

Cited by: 3

Related to: 20