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arXiv · 0705.4498

Atomic Representations of Rank 2 Graph Algebras

Kenneth R. Davidson·Stephen C. Power·Dilian Yang
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Abstract

We provide a detailed analysis of atomic *-representations of rank 2 graphs on a single vertex. They are completely classified up to unitary equivalence, and decomposed into a direct sum or direct integral of irreducible atomic representations. The building blocks are described as the minimal *-dilations of defect free representations modelled on finite groups of rank 2.

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Kenneth R. Davidson, Stephen C. Power, Dilian Yang. 2008-11-22. Atomic Representations of Rank 2 Graph Algebras. https://arxiv.org/abs/0705.4498

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