Commutation theorem for traces: Difference between revisions

Revision as of 12:53, 13 August 2014

Revision as of 03:33, 20 February 2016

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*{{citation|first=J.|last=Dixmier|authorlink=Jacques Dixmier|title=C* algebras|publisher=North Holland|year=1977|isbn=0-7204-0762-1}} (English translation)

*{{citation|first=R.|last=Godement|authorlink=Roger Godement|title=Mémoire sur la théorie des caractères dans les groupes localement compacts unimodulaires|journal=J. Math. Pures Appl.|volume= 30|year=1951|pages=1–110}}

*{{citation|first=R.|last=Godement|authorlink=Roger Godement|title=Théorie des caractères. I. Algèbres unitaires|journal=Ann. Ofof Math.|volume= 59|year=1954|pages=47–62|doi=10.2307/1969832|issue=1|publisher=Annals of Mathematics|jstor=1969832}}

*{{citation|first=F.J.|last= Murray|authorlink1=F.J. Murray|first2= J. |last2=von Neumann |authorlink2=John von Neumann

|title=On rings of operators| journal= Ann. Ofof Math. (2) |volume= 37 |year=1936|pages=116–229|doi=10.2307/1968693|jstor=1968693|issue=1|publisher=Annals of Mathematics}}

*{{citation|first=F.J.|last= Murray|authorlink1=F.J. Murray|first2= J. |last2=von Neumann|authorlink2=John von Neumann

|title=On rings of operators II|journal= Trans. Amer. Math. Soc. |volume= 41 |year=1937|pages= 208–248|doi=10.2307/1989620|issue=2|jstor=1989620|publisher=American Mathematical Society}}

*{{citation|first=F.J.|last= Murray|authorlink1=F.J. Murray|first2= J. |last2=von Neumann |authorlink2=John von Neumann

|title=On rings of operators IV|journal= Ann. Ofof Math. (2) |volume= 44 |year=1943|pages= 716–808|doi=10.2307/1969107|jstor=1969107|issue=4|publisher=Annals of Mathematics}}

*{{citation|last=Pedersen|first=G.K.|title=C* algebras and their automorphism groups|series=London Mathematical Society Monographs|volume=14|year=1979|

publisher=Academic Press|isbn=0-12-549450-5}}

*{{citation|last=Rieffel|first= M.A.|last2= van Daele|first2=A.|title=A bounded operator approach to Tomita–Takesaki theory|journal=Pacific J. Math.|volume= 69 |year=1977|pages= 187–221|doi=10.2140/pjm.1977.69.187}}

*{{citation|last=Segal|first=I.E.| authorlink=Irving Segal|title=A non-commutative extension of abstract integration|journal=Ann. Ofof Math. |volume=57|year=1953|pages= 401–457|doi=10.2307/1969729|issue=3|publisher=Annals of Mathematics|jstor=1969729}} (Section 5)

*{{citation|last=Simon|first= B.|authorlink=Barry Simon|title=Trace ideals and their applications|series=London Mathematical Society Lecture Note Series|volume= 35|publisher= Cambridge University Press|year= 1979|isbn = 0-521-22286-9}}

*{{citation|first=M. |last=Takesaki |title=Theory of Operator Algebras II|publisher=Springer-Verlag|isbn= 3-540-42914-X|year=2002}}