I guess it depends a little on what you are looking for. If you want to pay attention to the C*-side, you may want to look at Davidson (very neat presentation of. Serial Editors: Richard V. Kadison John R. Ringrose. eBook ISBN: Imprint: Academic Press. Published Date: 10th June Page Count: Fundamentals of the Theory of Operator Algebras. Special Topics Advanced Theory—An Exercise Approach. Authors: KADISON, RINGROSE.
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A note on projection equivalence in von Neumann algebras. Statistical mechanics and ringrsoe theory: Print Price 3 Label: Operator algebras—the first forty years. Surveys in differential geometry,Surv.
Kadison ; John R. Arveson, William ; Kadison, Richard V.
Strong continuity of operator functions. Press, Somerville, MA, On representations of finite type.
Fundamentals of the Theory of Operator Algebras. Volume I: Elementary Theory
Then you perhaps should try to read some of Sorin Popa’s recent papers and begin backfilling knowledge around these. In particular, they explain the unbounded operator theory somewhat more than Takesaki does. Equivalence in operator algebras. On a conjecture of Murray and von Neumann. Special Representation of CAlgebras.
Alternative for Kadison and Ringrose’s book Ask Question. On the orthogonalization of operator representations. Fundamentals of the theory of operator algebras. What you suggest about Sunder etc. Another good place to play to get feelings on this stuff is in Jones’s online notes for his von Neumann algebras course.
Richard V Kadison’s Homepage
This work and Fundamentals of the Theory of Operator Algebras. Since then they have rinvrose established themselves as The Textbooks in operator algebra theory’ – “”Bulletin of the American Mathematical Society””.
An unusual feature in a text at this level is the extent to which it is self-contained; for example, it introduces all the elementary functional analysis needed. Especially volume 2 is a very nice, and concise, guide to an awful lot of the theory around Tomita-Takesaki and Connes’ theory of weights.
Operator algebras with a faithful weakly-closed representation. Fuglede, Bent ; Kadison, Richard V.
Isometries of operator algebras. For the von Neumann side, an option to get started is Sunder: Christopher ; Ringrose, John R. Algebras of unbounded functions and operators.
Irving Kaplansky’s role in mid-twentieth century functional analysis. Derivations and automorphisms of operator algebras. Haagerup, Uffe ; Kadison, Richard V.
Operator algebras in dynamical systems. Limited preview – Product isometries and automorphisms of the CAR algebra. Diagonals of self-adjoint operators. Author s Product display: Operator Theory 26no. Major concepts are sometimes presented from several points of view; the account is leisurely when brevity would compromise clarity.
The trace in finite operator algebras. Operator theory, operator algebras, and applications,Contemp.