Finite von Neumann algebras and masas / (Record no. 518099)
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| 000 -LEADER | |
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| fixed length control field | 02925nam a22003738i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511666230 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160236.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 091217s2008||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511666230 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521719193 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA326 |
| Item number | .S565 2008 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.556 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Sinclair, Allan M., |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Finite von Neumann algebras and masas / |
| Statement of responsibility, etc | Allan M. Sinclair, Roger R. Smith. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | Finite von Neumann Algebras & Masas |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (ix, 400 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 351 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | General introduction -- Masas in B(H) -- Finite von Neumann algebras -- The basic construction -- Projections and partial isometries -- Normalisers, orthogonality, and distances -- The Pukanszky invariant -- Operators in L -- Perturbations -- General perturbations -- Singular masas -- Existence of special masas -- Irreducible hyperfinite subfactors -- Maximal injective subalgebras -- Masas in non-separable factors -- Singly generated II1 factors -- Appendix A. The ultrapower and property GAMMA -- Appendix B. Unbounded operators -- Appendix C -- The trace revisited -- Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | A thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a finite von Neumann algebra with a fixed faithful normal trace are discussed in detail. The general theory of maximal abelian self-adjoint subalgebras (masas) of separable II1 factors is presented with illustrative examples derived from group von Neumann algebras. The theory of singular masas and Sorin Popa's methods of constructing singular and semi-regular masas in general separable II1 factor are explored. Appendices cover the ultrapower of a II1 factor and the properties of unbounded operators required for perturbation results. Proofs are given in considerable detail and standard basic examples are provided, making the book understandable to postgraduates with basic knowledge of von Neumann algebra theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Von Neumann algebras. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Smith, Roger R., |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521719193 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 351. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511666230">https://doi.org/10.1017/CBO9780511666230</a> |
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