2014/03/20 by Sooran Kang, Kang, Sooran, Alex Kumjian +3
Mathematics · Physics and Astronomy · #46L05 (primary) #46L55 (secondary) #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.1403.5313
openalex publication_date 2014/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The quantum Heisenberg manifolds are noncommutive manifolds constructed by M. Rieffel as strict deformation quantizations of Heisenberg manifolds and have been studied by various authors. Rieffel constructed the quantum Heisenberg manifolds as the generalized fixed-point algebras of certain crossed product C^*-algebras, and they also can be realized as crossed products of C(\mathbbT2) by Hilbert C^*-bimodules in the sense of Abadie et al. In this paper, we describe how the quantum Heisenberg manifolds can also be realized as twisted groupoid C^*-algebras.