Explores the Haagerup property in semigroup crossed products, indicating a connection to lattice ordered groups.
In this paper, we study the relative Haagerup property of semigroup crossed products. Let G be a lattice ordered group that acts on a unital C*-algebra A through an action ?. We show that the inclusion A ? A ??,r G+ has the relative Haagerup property if and only if G has the Haagerup property.
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Qing Meng (2025) studied this question.
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