Last edited by Tauzuru
Sunday, August 9, 2020 | History

9 edition of Morita equivalence and continuous-trace C*-algebras found in the catalog.

Morita equivalence and continuous-trace C*-algebras

by Iain Raeburn

  • 278 Want to read
  • 5 Currently reading

Published by American Mathematical Society in Providence, R.I .
Written in English

    Subjects:
  • C*-algebras

  • Edition Notes

    Includes bibliographical references (p. 317-327) and index.

    StatementIain Raeburn, Dana P. Williams.
    SeriesMathematical surveys and monographs,, v. 60, Mathematical surveys and monographs ;, no. 60.
    ContributionsWilliams, Dana P., 1952-
    Classifications
    LC ClassificationsQA326 .R34 1998
    The Physical Object
    Paginationxiv, 327 p. ;
    Number of Pages327
    ID Numbers
    Open LibraryOL365503M
    ISBN 100821808605
    LC Control Number98025838

    Discover Book Depository's huge selection of Iain Raeburn books online. Free delivery worldwide on over 20 million titles. Lecture notes on C*-algebras: notes are very raw and are in developement. The current version is from August with a few typos corrected as of Janu ).

    The relationship between Leavitt path algebras and graph C*-algebras is also explored in the context of Morita equivalence. Comment: 40 pages, Version II comments: Section 10 updated, typos. Topic c: Morita equivalence and stable isomorphism [RW98, x&x]. Prove that two ˙-unital C - algebras are stably isomorphic if and only if they are Morita equivalent [RW98, Thm ]. Topic d: Tensor products ([Mur90, x] and [Tak01, xIII.4]). Start with a discussion of cross-norms for tensor products of Banach spaces.

    Morita Equivalence and Hilbert C*-modules. Morita equivalence and continuous-trace C*-algebras by Iain Rabeurn and Dana P. Williams, Hilbert C*-modules: A Toolkit for Operator Algebraists by E. Christopher Lance, Graph C*-algebras. Graph Algebras by Iain Raeburn. C ∗ -Algebras from Groupoids on Self-Similar Groups Yi, Inhyeop, Abstract and Applied Analysis, ; Cuntz-Pimsner algebras of group representations Deaconu, Valentin, Rocky Mountain Journal of Mathematics, ; Fixed-point algebras for proper actions and crossed products by homogeneous spaces an Huef, Astrid, Kaliszewski, S., Raeburn, Iain, and Williams, Dana P., Illinois Journal of.


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Morita equivalence and continuous-trace C*-algebras by Iain Raeburn Download PDF EPUB FB2

This book provides an excellent introduction to Morita Equivalence and Continuous-trace C*-algebras. It is written at a level accesible to graduate students who wish to begin work in these areas. The book is filled with many basic C*-algebra facts which one is hard pressed to find written down in other places, and also gives a nice presentation Cited by:   In this text, the authors give a modern treatment of the classification of continuous-trace \(C^*\)-algebras up to Morita equivalence.

This includes a detailed discussion of Morita equivalence of \(C^*\)-algebras, a review of the necessary sheaf cohomology, and an introduction to recent developments in the on: Dartmouth College, Hanover, NH. Advancing research.

Creating by: In this text, the authors give a modern treatment of the classification of continuous-trace C*-algebras up to Morita equivalence. This includes a detailed discussion of Morita equivalence of C*-algebras, a review of the necessary sheaf cohomology, and an introduction to recent developments in the area.

The book is accessible to students who are beginning research in operator algebras after a. This book is volume 60 of the American Mathematical Society's Survey and Monograph series (ISBN ), and may be purchased from the Society's online bookstore.

An HTML version of the table of contents is available. Destination page number Search scope Search Text Search scope Search Text. Morita Equivalence and Continuous-Trace C* -Algebras,Buch, Bücher schnell und portofrei Beachten Sie bitte die aktuellen Informationen unseres Partners DHL zu Liefereinschränkungen im Ausland.

Morita equivalence and continuous-trace C-star-algebras | Raeburn I., Williams D.P. | download | B–OK. Download books for free. Find books. I suggest you look at the book "Morita Equivalence and Continuous-Trace C*-algebras" by I.

Raeburn and D. define much of the construction of a Morita equivalence for -subalgebras of C-algebras without assuming the can also look at S. Echterhoff's notes Crossed products and the Mackey-Rieffel-Green machine (arXiv, also published in "K-Theory for.

‘ The strong Morita equivalence for coactions of a finite dimensional C ∗-Hopf algebra on unital C ∗-algebras ’, Studia Math. (), – [6] Osaka, H., Kodaka, K.

and Teruya, T. [33] Iain Raeburn and Dana P. Williams, Morita equivalence and continuous-trace C - algebras, Mathematical Surveys and Monographs, vol. 60, American Mathematical Soci-ety, Providence, RI, [34] Marc A.

Rie el, Induced representations of C -algebras, Advances in Math. 13 (), { Get this from a library. Morita equivalence and continuous-trace C*-algebras. [Iain Raeburn; Dana P Williams]. Book Title: Morita Equivalence and Continuous trace C algebras Author: Iain Raeburn Publisher: American Mathematical Soc.

Release Date: Pages: ISBN: Available Language: English, Spanish, And French. READ NOW DOWNLOAD Morita Equivalence and Continuous trace C algebras Book Summary.

The C*=algebras A acrd B are Morita equivalent if and orir' 1, if their enveloping W'-algebras n(A) and n(B) are Morita equivalent. 94 M.A. Rieffel, hfiorlta equivalence It follows that the earlier results of this section are immediately applicable to C*-algebras, although they do not, in general, have nice formulations in terms of the C.

In this paper, we show that the Cauchy extensions of C*-algebras and Hilbert C*-modules preserve Morita equivalence of C*-algebras and Hilbert C*- modules, respectively. In particular, we show that the Cauchy extensions of Hilbert C*-modules preserve adjointable, unitary operators and partial isometries as well as full Hilbert C*-modules and.

This book is meant to be self-contained and accessible to any graduate student coming out of a first course on operator algebras. There are appendices that deal with ancillary subjects, which while not central to the subject, are nevertheless crucial for a complete understanding of the material.

(b) If A is strongly Morita equivalent to B, and A is a continuous trace algebra, then also B is a continuous trace algebra. (c) In the case that the spectrum X is paracompact, strong Morita equivalence corresponds exactly to the Dixmier-Douady classification of locally trivial fields of elementary C*-algebras (see [12, ]).

A continuous trace C * C^*-algebra is, to some extent, an operator algebraic counterpart to the theory of Azumaya algebras. Dixmier-Douady class has been designed originally to give invariant of such operator algebras.

Raeburn, D. Williams, Morita equivalence and continuous-trace C * C^*-algebras, AMS Monographs 60 () xiv+ pp. $\begingroup$ These all sound like good suggestions (I never read much of Higson & Roe despite buying it as a student to try and learn some of this stuff, but what I did read I remember as being well written and well organised).

My impression from looking at bits and pieces of Connes' NCDG paper (the IHES one?) is that it helps to be comfortable with all the "DG" before moving on to the "NC. Hello Select your address Upload a new sci-fi comedy a new sci-fi comedy.

Crossed Products by Hecke Pairs About this Title. Rui Palma. Publication: Memoirs of the American Mathematical Society Publication Year: ; VolumeNumber ISBNs: (print); (online).Morita equivalence takes this viewpoint to a natural conclusion by defining rings to be Morita equivalent if their module categories are equivalent in the sense of category theory.

This notion is of interest only when dealing with noncommutative rings, since it can be shown that two commutative rings are Morita equivalent if and only if they.are Morita equivalent.

Morita equivalence is an equivalence relation on C-algebras weaker than isomorphism that preserves many useful structural properties. A lot of the work in [2, Sec. 4] goes into characterizing structure of the desingularization E~ in terms of the parent graph E.

This theorem holds in a wider context than graph C-algebras.