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arXiv · 2012.02995

The C*-algebra of a twisted groupoid extension

Jean Renault
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Abstract

This article extends the main results of the publication arXiv:2001.01312 to the case of a twisted groupoid. More precisely, it gives a decomposition of the C*-algebra of a twisted locally compact groupoid with Haar system in presence of a normal subgroupoid. When the normal subgroupoid and the twist over it are abelian, one obtains another twisted groupoid C*-algebra. This is applied to C*-algebraic deformation quantization and to multiplier representations of locally compact abelian groups.

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Jean Renault. 2020-12-05. The C*-algebra of a twisted groupoid extension. https://arxiv.org/abs/2012.02995

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