Characterizing group C*-algebras through their unitary groups: the Abelian case

DOI10.1515/FORUM.2010.043zbMath1200.19003arXiv0704.3687MaRDI QIDQ3580711

Ana María Ródenas, Jorge Galindo

Publication date: 13 August 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3687

zbMATH Keywords

group \(C^*\)-algebraunitary group, \(K_1\)-group

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Whitehead groups and (K_1) (19B99) Topological (K)-theory (19L99) Character groups and dual objects (43A40)

Cites Work

• Free compact groups. I: Free compact abelian groups
• A Bott periodicity map for crossed products of C *-algebras by discrete groups
• Abelian groups of continuous functions and their duals
• Pontryagin-van Kampen reflexivity for free Abelian topological groups
• K-Groups of Solenoidal Algebras I
• Free Abelian topological groups and the Pontryagin-Van Kampen duality

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