Topological aspects of group C^*-algebras

2017/07/18 by Beltita, Ingrid, Beltita, Daniel · 1 citation
#22D25 (Primary) #22E27 (Secondary) #FOS: Mathematics #Operator Algebras (math.OA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1707.05725

Abstract

We discuss basic topological properties of unitary dual spaces of nilpotent Lie groups, using some ideas from operator algebras and their noncommutative dimension theory. The general results are illustrated by many examples.

Cited by

• Strong C^*-rigidity of the Heisenberg groups

Related

• Algebraic topology of C^*-algebras
• Noncommutative Gelfand Duality and Applications I: The Existence of invariant subspaces
• Distinguishing C*-algebras by their unitary groups
• Noncommmutative theorems: Gelfand Duality, Spectral, Invariant Subspace, and Pontryagin Duality
• C*-algebras with norm controlled dual limits and nilpotent Lie groups