| Authors: | Farah, Ilijas Manhal, Najla |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Nonseparable CCR algebras | Journal: | International Journal of Mathematics | First page: | 2150094 | Issue Date: | 30-Sep-2021 | Rank: | ~M23 | ISSN: | 0129-167X | DOI: | 10.1142/S0129167X21500944 | 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 κ there are 2κ nonisomorphic approximately matricial C*-algebras with the same K0 group as A. These algebras are group C*-algebras "twisted"by prescribed canonical commutation relations (CCR), and they can also be considered as nonseparable generalizations of noncommutative tori. |
Keywords: | algebras | canonical commutation relations | noncommutative tori | Nonseparable C | Publisher: | World Scientific |
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