Introduction To Subfactors

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Introduction To Subfactors
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Author : Vaughan F. R. Jones
language : en
Publisher: Cambridge University Press
Release Date : 1997-05-15
Introduction To Subfactors written by Vaughan F. R. Jones and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-15 with Mathematics categories.
Subfactors have been a subject of considerable research activity for about 15 years and are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. These notes give an introduction to the subject suitable for a student who has only a little familiarity with the theory of Hilbert space. A new pictorial approach to subfactors is presented in a late ch apter.
Introduction To Subfactors
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Author : V. Jones
language : en
Publisher:
Release Date : 1997
Introduction To Subfactors written by V. Jones and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Electronic books categories.
These notes give an introduction to subfactors suitable for newcomers to the field.
Operator Algebras And Their Applications
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Author : Peter A. Fillmore
language : en
Publisher: American Mathematical Soc.
Release Date :
Operator Algebras And Their Applications written by Peter A. Fillmore and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The study of operator algebras, which grew out of von Neumann's work in the 1920s and the 1930s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality. This growth has resulted in significant applications in other areas - both within and outside mathematics. The field was a natural candidate for a 1994-1995 program year in Operator Algebras and Applications held at The Fields Institute for Research in the Mathematical Sciences. This volume contains a selection of papers that arose from the seminars and workshops of the program. Topics covered include the classification of amenable C*-algebras, the Baum-Connes conjecture, E[subscript 0] semigroups, subfactors, E-theory, quasicrystals, and the solution to a long-standing problem in operator theory: Can almost commuting self-adjoint matrices be approximated by commuting self-adjoint matrices?
The Classification Of Subfactors With Index At Most 5 Frac 1 4
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Author : Narjess Afzaly
language : en
Publisher: American Mathematical Society
Release Date : 2023-04-07
The Classification Of Subfactors With Index At Most 5 Frac 1 4 written by Narjess Afzaly and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-07 with Mathematics categories.
View the abstract.
Classification Of Subfactors And Their Endomorphisms
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Author : Sorin Popa
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Classification Of Subfactors And Their Endomorphisms written by Sorin Popa and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
This monograph provides a more unifed and self-contained presentation of the results presented in Popa's earlier papers on this topic. "Classifications of Subfactors and Their Endomorphisms" is based on lectures presented by Popa at the NSF-CBMS Regional Conference held in Eugene, Oregon, in August, 1993.
Subfactors Proceedings Of The Taniguchi Symposium On Operator Algebras
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Author : Huzihiro Araki
language : en
Publisher: World Scientific
Release Date : 1994-09-30
Subfactors Proceedings Of The Taniguchi Symposium On Operator Algebras written by Huzihiro Araki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-30 with categories.
The theory of subfactors of von Neumann algebras made an amazing development in the past ten years or so. In order to appraise the present state of the art in subfactor theory and to look for promising directions of future research, the workshop was organised. This workshop gives an overview of the foremost developments in subfactor theory and related topics.
Subfactors Planar Algebras And Rotations
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Author : Michael E. Burns
language : en
Publisher:
Release Date : 2003
Subfactors Planar Algebras And Rotations written by Michael E. Burns and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Quanta Of Maths
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Author : Institut des hautes études scientifiques (Paris, France)
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Quanta Of Maths written by Institut des hautes études scientifiques (Paris, France) and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
The work of Alain Connes has cut a wide swath across several areas of mathematics and physics. Reflecting its broad spectrum and profound impact on the contemporary mathematical landscape, this collection of articles covers a wealth of topics at the forefront of research in operator algebras, analysis, noncommutative geometry, topology, number theory and physics. Specific themes covered by the articles are as follows: entropy in operator algebras, regular $C^*$-algebras of integral domains, properly infinite $C^*$-algebras, representations of free groups and 1-cohomology, Leibniz seminorms and quantum metric spaces; von Neumann algebras, fundamental Group of $\mathrm{II}_1$ factors, subfactors and planar algebras; Baum-Connes conjecture and property T, equivariant K-homology, Hermitian K-theory; cyclic cohomology, local index formula and twisted spectral triples, tangent groupoid and the index theorem; noncommutative geometry and space-time, spectral action principle, quantum gravity, noncommutative ADHM and instantons, non-compact spectral triples of finite volume, noncommutative coordinate algebras; Hopf algebras, Vinberg algebras, renormalization and combinatorics, motivic renormalization and singularities; cyclotomy and analytic geometry over $F_1$, quantum modular forms; differential K-theory, cyclic theory and S-cohomology.
Topological Quantum Field Theories From Subfactors
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Author : Vijay Kodiyalam
language : en
Publisher: CRC Press
Release Date : 2019-05-20
Topological Quantum Field Theories From Subfactors written by Vijay Kodiyalam and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-20 with Mathematics categories.
Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that subfactors yield TQFTs that complement the Turaev-Viro construction. Until now, however, it has been difficult to find an account of this work that is both detailed and accessible. Topological Quant
Finite Von Neumann Algebras And Masas
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Author : Allan Sinclair
language : en
Publisher: Cambridge University Press
Release Date : 2008-06-26
Finite Von Neumann Algebras And Masas written by Allan Sinclair and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-26 with Mathematics categories.
The first book devoted to the general theory of finite von Neumann algebras.