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arXiv · 2108.11148

On stably finiteness for $C^*$-algebras of exponential solvable Lie groups

Ingrid Beltita·Daniel Beltita
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Abstract

We study the link between stably finiteness and stably projectionless-ness for $C^*$-algebras of solvable Lie groups. We show that these two properties are equivalent if the dimension of the group is not divisible by $4$; otherwise, they are not necessarily equivalent. To provide examples proving the last assertion, we study exponential solvable Lie groups that have nonempty finite open sets in their unitary dual.

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Ingrid Beltita, Daniel Beltita. 2023-03-24. On stably finiteness for $C^*$-algebras of exponential solvable Lie groups. https://doi.org/10.1007/s00209-023-03256-z

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