Topological aspects of group $C^*$-algebras
Ingrid Beltita, Daniel Beltita
TL;DR
This paper explores the topological properties of the unitary dual spaces of nilpotent Lie groups, employing operator algebra techniques and illustrating the results with numerous examples.
Contribution
It introduces a topological analysis of unitary duals of nilpotent Lie groups using operator algebra concepts, providing new insights and examples.
Findings
Characterization of topological properties of dual spaces
Application of noncommutative dimension theory
Illustrative examples of nilpotent Lie groups
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.
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