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arXiv · 2002.06807

A topological invariant for continuous fields of the Cuntz algebras

Taro Sogabe
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Abstract

For a continuous field of the Cuntz algebra over a finite CW complex, we introduce a topological invariant, which is an element in Dadarlat-Pennig's generalized cohomology group, and prove that the invariant is trivial if and only if the field comes from a vector bundle via Pimsner's construction.

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Taro Sogabe. 2020-02-17. A topological invariant for continuous fields of the Cuntz algebras. https://arxiv.org/abs/2002.06807

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