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arXiv · 2211.16407

Gauge-invariant uniqueness theorems for $P$-graphs

Robert Huben·S. Kaliszewski·Nadia S. Larsen·John Quigg
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Abstract

We prove a version of the result in the title that makes use of maximal coactions in the context of discrete groups. Earlier Gauge-Invariant Uniqueness theorems for $C^*$-algebras associated to $P$-graphs and similar $C^*$-algebras exploited a property of coactions known as normality. In the present paper, the view point is that maximal coactions provide a more natural starting point to state and prove such uniqueness theorems. A byproduct of our approach consists of an abstract characterization of co-universal representations for a Fell bundle over a discrete group.

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Robert Huben, S. Kaliszewski, Nadia S. Larsen, John Quigg. 2022-11-29. Gauge-invariant uniqueness theorems for $P$-graphs. https://arxiv.org/abs/2211.16407

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