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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