The Hao-Ng isomorphism theorem for reduced crossed products

2025/05/01 by Dor-On, Adam, Thompson, Ian · 1 citation
#46K50 #46L05 #46L55 #47L55 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2505.00587

Abstract

We prove the Hao-Ng isomorphism for reduced crossed products by locally compact Hausdorff groups. More precisely, for a non-degenerate C^*-correspondence X and a generalized gauge action G \curvearrowright X by a locally compact Hausdorff group G, we prove the commutation O_X\rtimesrG≅ O_X\rtimes_rG of the reduced crossed product with the Cuntz-Pimsner C*-algebra construction.

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