1999/04/30 by Do Ngoc Diep, Diep, Do Ngoc, Phùng Hô Hái +4
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.OA #math.QA #math.RA #math.RT
paper · pdf · doi:10.48550/arxiv.math/9904175
15 pages, latex 2e, amsart style
arxiv created 1999/04/30 · openalex publication_date 1999/04/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we construct and study the representation theory of a Hopf C^*-algebra with approximate unit, which constitutes quantum analogue of a compact group C^*-algebra. The construction is done by first introducing a convolution-product on an arbitrary Hopf algebra H with integral, and then constructing the L2 and C^*-envelopes of H (with the new convolution-product) when H is a compact Hopf *-algebra.