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arXiv · 2104.08240

Nonseparable CCR algebras

Ilijas Farah·Najla Manhal
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Abstract

Extending a result of the first author and Katsura, we prove that for every UHF algebra $A$ of infinite type, in every uncountable cardinality $\kappa$ there are $2^\kappa$ nonisomorphic approximately matricial C*-algebras with the same $K_0$ group as $A$. These algebras are group \cstar-algebras `twisted' by prescribed canonical commutation relations (CCR), and they can also be considered as nonseparable generalizations of noncommutative tori.

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Ilijas Farah, Najla Manhal. 2021-04-16. Nonseparable CCR algebras. https://arxiv.org/abs/2104.08240

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