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arXiv · 1604.01176

Unitary stable ranks and norm-one ranks

Raymond Mortini
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Abstract

In the context of commutative $C^*$-algebras we solve a problem related to a question of M. Rieffel by showing that the all-units rank and the norm-one rank coincide with the topological stable rank. We also introduce the notion of unitary $M$-stable rank for an arbitrary commutative unital ring and compare it with the Bass stable rank. In case of uniform algebras, a sufficient condition for norm-one reducibility is given.

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Raymond Mortini. 2016-04-05. Unitary stable ranks and norm-one ranks. https://arxiv.org/abs/1604.01176

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