Full crossed products by Hopf C*-algebras

1998/06/05 by May Nilsen, Nilsen, May M.
Mathematics · #16W30 #22D25 #46L05 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.math/9806026

openalex publication_date 1998/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that when a co-involutive Hopf C*-algebra S coacts via δ on a C*-algebra A, there exists a full crossed product A×_δS, with universal properties analogous to those of full crossed products by locally compact groups. The dual Hopf C*-algebra is then defined by S:=\Bbb C×_\id S.

Related

• Mini-course on Hopf algebras--Hopf crossed products--
• Three versions of categorical crossed-product duality
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