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arXiv · 1701.05509

Quasidiagonality of $C^*$-algebras of solvable Lie groups

Ingrid Beltita·Daniel Beltita
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Abstract

We characterize the solvable Lie groups of the form ${\mathbb R}^m\rtimes {\mathbb R}$, whose $C^*$-algebras are quasidiagonal. Using this result, we determine the connected simply connected solvable Lie groups of type~I whose $C^*$-algebras are strongly quasidiagonal. As a by-product, we give also examples of amenable Lie groups with non-quasidiagonal $C^*$-algebras.

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Ingrid Beltita, Daniel Beltita. 2017-01-19. Quasidiagonality of $C^*$-algebras of solvable Lie groups. https://arxiv.org/abs/1701.05509

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