On the zeroth L²-homology of a quantum group

2009/06/03 by David Kyed, Kyed, David
Mathematics · #16E30 #16W35 #46L89 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.0906.0656

openalex publication_date 2009/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the zeroth L²-Betti number of a compact quantum group vanishes unless the underlying C*-algebra is finite dimensional and that the zeroth L²-homology itself is non-trivial exactly when the quantum group is coamenable.

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