Corpus ID: 237532155

Chain-center duality for locally compact groups

  title={Chain-center duality for locally compact groups},
  author={Alexandru Chirvasitu},
The chain group C(G) of a locally compact group G has one generator gρ for each irreducible unitary G-representation ρ, a relation gρ = gρ′gρ′′ whenever ρ is weakly contained in ρ ′ ⊗ ρ, and gρ∗ = g −1 ρ for the representation ρ contragredient to ρ. G satisfies chain-center duality if assigning to each gρ the central character of ρ is an isomorphism of C(G) onto the dual Ẑ(G) of the center of G. We prove that G satisfies chain-center duality if it is (a) a compact-by-abelian extension, (b… Expand
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