C*-algebras and W*-algebras.
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C*-algebras and W*-algebras.

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Published by Springer-Verlag in Berlin .
Written in English

Subjects:

  • C*-algebras

Book details:

Edition Notes

SeriesErgebnisse der Mathematik und ihrer Grenzgebiete -- Bd. 60
Classifications
LC ClassificationsQA326 S25
The Physical Object
Pagination256 p.
Number of Pages256
ID Numbers
Open LibraryOL18070584M

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From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject, and is a valuable reference for bot C*-Algebras and W*-Algebras | SpringerLink Skip to main content Skip to table of contents.   C*-Algebras and W*-Algebras by Shoichiro Sakai, , available at Book Depository with free delivery : Shoichiro Sakai. The book contains many original results concerning real C*-algebras, partial differential equations, Hilbert right C*-modules, and C*-algebras generated by groups. The functional calculus is constructed for W* -algebras with the elements of the bidual space and not merely with the Borel functions. Nuclear C*-algebras, which are the most well-behaved class under the operation of tensor product, are discussed briefly. The last chapter of the book is the most interesting, for it deals with the K-theory of C*-algebras. The Brown-Douglas-Fillmore theory was briefly mentioned in an addendum to chapter by:

Pris: kr. Häftad, Skickas inom vardagar. Köp C*-Algebras and W*-Algebras av Shoichiro Sakai på   The above-mentioned definitions and results can all be found in [1], [5] and [10] and reader is referred to this sources for more general information on W *algebras and AW * . Abstract. Let p, q be two projections of a W*-algebra there exists a partial isometry u in M such that u*u = p and uu* = q, then p is said to be equivalent to q and denote this by p~q. If there exists a projection q 1 (≤q) equivalent to p, we write this by pp. We write p~q or pAuthor: Shôichirô Sakai. Chapter 1 Basics of C-algebras De nition We begin with the de nition of a C-algebra. De nition A C-algebra Ais a (non-empty) set with the followingFile Size: KB.

The study of C∗-algebras associated to groupoids was initiated by Renault in his PhD thesis [37], and was motivated by earlier work, particularly that of Feld-man and Moore [19,20,21] for von Neumann algebras. Groupoid C∗-algebras have been studied intensively ever since, and provide useful and concrete models of many classes of C. From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject, and is a valuable reference for Read more. Rating:: (not yet rated) 0 with reviews - Be the first.. Subjects: C*-algebras.; C*-algèbres.; Von Neumann, Algèbres de.; More like this: Similar Items;. Find a copy in the library. will establish continuous functional calculus for commutative C∗-algebras () and Borel functional calculus for normal elements in von Neumann algebras (). Definition Let xbe a fixed element in a unital Banach algebra fbe a holomorphic function in an open neighborhoodO f of sp(x), and Cbe a smooth simple closed curve in O.   Purchase General Theory of C*-Algebras, Volume 3 - 1st Edition. Print Book & E-Book. ISBN , Book Edition: 1.