On factor representations and the \(C^ *\)-algebra of canonical commutation relations

DOI10.1007/BF01878451zbMath0225.46068OpenAlexW2088529531MaRDI QIDQ2548765

Publication date: 1972

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01878451

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

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Cites Work