Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
>
Review/Rating
Catalogue Display
Catalogue Display
Previous Title
.
An Invitation to C*-Algebras
.
Bookmark this Record
Catalogue Record 43434
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 43434
.
Reviews
Catalogue Record 43434
.
British Library
Resolver for RSN-43434
Google Scholar
Resolver for RSN-43434
WorldCat
Resolver for RSN-43434
Catalogo Nazionale SBN
Resolver for RSN-43434
GoogleBooks
Resolver for RSN-43434
ICTP Library
Resolver for RSN-43434
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
512
Title
An Invitation to C*-Algebras ([EBook] /) / by William Arveson.
Author
Arveson, William
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : : Springer New York, , 1976.
Physical Details
X, 108 p. : online resource.
Series
Graduate texts in mathematics
0072-5285 ; ; 39
ISBN
9781461263715
Summary Note
This book gives an introduction to C*-algebras and their representations on Hilbert spaces. We have tried to present only what we believe are the most basic ideas, as simply and concretely as we could. So whenever it is convenient (and it usually is), Hilbert spaces become separable and C*-algebras become GCR. This practice probably creates an impression that nothing of value is known about other C*-algebras. Of course that is not true. But insofar as representations are con cerned, we can point to the empirical fact that to this day no one has given a concrete parametric description of even the irreducible representations of any C*-algebra which is not GCR. Indeed, there is metamathematical evidence which strongly suggests that no one ever will (see the discussion at the end of Section 3. 4). Occasionally, when the idea behind the proof of a general theorem is exposed very clearly in a special case, we prove only the special case and relegate generalizations to the exercises. In effect, we have systematically eschewed the Bourbaki tradition. We have also tried to take into account the interests of a variety of readers. For example, the multiplicity theory for normal operators is contained in Sections 2. 1 and 2. 2. (it would be desirable but not necessary to include Section 1. 1 as well), whereas someone interested in Borel structures could read Chapter 3 separately. Chapter I could be used as a bare-bones introduction to C*-algebras. Sections 2.:
Contents note
1 Fundamentals -- 1.1. Operators and C*-algebras -- 1.2. Two density theorems -- 1.3. Ideals, quotients, and representations -- 1.4. C*-algebras of compact operators -- 1.5. CCR and GCR algebras -- 1.6. States and the GNS construction -- 1.7. The existence of representations -- 1.8. Order and approximate units -- 2 Multiplicity Theory -- 2.1. From type I to multiplicity-free -- 2.2. Commutative C*-algebras and normal operators -- 2.3. An application: type I von Neumann algebras -- 2.4. GCR algebras are type I -- 3 Borel Structures -- 3.1. Polish spaces -- 3.2. Borel sets and analytic sets -- 3.3. Borel spaces -- 3.4. Cross sections -- 4 From Commutative Algebras to GCR Algebras -- 4.1. The spectrum of a C*-algebra -- 4.2. Decomposable operator algebras -- 4.3. Representations of GCR algebras.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-6371-5
Links to Related Works
Subject References:
Algebra
.
Mathematics
.
Authors:
Arveson, William
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Graduate texts in mathematics
.
GTM
.
Classification:
512
.
.
ISBD Display
Catalogue Record 43434
.
Tag Display
Catalogue Record 43434
.
Related Works
Catalogue Record 43434
.
Marc XML
Catalogue Record 43434
.
Add Title to Basket
Catalogue Record 43434
.
Catalogue Information 43434
Beginning of record
.
Catalogue Information 43434
Top of page
.
Download Title
Catalogue Record 43434
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
43434
1
43434
-
2
43434
-
3
43434
-
4
43434
-
5
43434
-
Quick Search
Search for