The C*-algebra of SL(2,R)

2016/05/30 by Janne-Kathrin Günther, Günther, Janne-Kathrin
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Holomorphic and Operator Theory #Representation Theory (math.RT) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1605.09256

openalex publication_date 2016/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The C^*-algebra of the group SL(2,\mathbb R) is characterized using the operator valued Fourier transform. In particular, it is shown by explicit computations, that the Fourier transform of this C^*-algebra fulfills the norm controlled dual limit property.

Related

• The C*-algebras of connected real two-step nilpotent Lie groups
• The C^*-algebra of the group N₇.
• Uniformly bounded representations and completely bounded multipliers of SL(2,R)
• C*-algebras with norm controlled dual limits and nilpotent Lie groups
• C*-algebras associated with some second order differential operators