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arXiv · 2312.03622

Inclusions of real rank zero

James Gabe·Robert Neagu
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Abstract

We introduce a notion of real rank zero for inclusions of C$^*$-algebras. After showing that our definition has many equivalent characterisations, we offer a complete description of the commutative case. We provide permanence and K-theoretic properties of inclusions of real rank zero and prove that a large class of full infinite inclusions have real rank zero.

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James Gabe, Robert Neagu. 2023-12-06. Inclusions of real rank zero. https://arxiv.org/abs/2312.03622

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