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A Factor not Anti‐Imsomorphic to itself
Author(s) -
Connes A.
Publication year - 1975
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/7.2.171
Subject(s) - mathematics , isomorphism (crystallography) , factor (programming language) , pure mathematics , type (biology) , measure (data warehouse) , space (punctuation) , hilbert space , combinatorics , linguistics , data mining , crystallography , computer science , programming language , ecology , chemistry , philosophy , crystal structure , biology
We prove for each λє]0,1[the existance of a factor of type III λ , acting on a seperable hilbert space, and not anti‐isomorphic to itself. It follows that it not constructible by the group measure space construction. The proof of non anti‐isomorphism is an application of our classification of type III factors.