Groupoids and Hermitian Banach *-algebras
Peer reviewed, Journal article
Accepted version
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Date
2022Metadata
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- Institutt for matematiske fag [2397]
- Publikasjoner fra CRIStin - NTNU [37703]
Original version
10.1142/S0129167X22500902Abstract
We study when the twisted groupoid Banach ∗-algebra L 1 (G, σ) is Hermitian. In particular, we prove that Hermitian groupoids satisfy the weak containment property. Furthermore, we find that for L 1 (G, σ) to be Hermitian it is sufficient that L 1 (Gσ) is Hermitian. Moreover, if G is ample, we find necessary conditions for L 1 (G, σ) to be Hermitian in terms of the fibers G x x .