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Author : Zeph A. Landau
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.:/5 (34 download)
Download or read book Intermediate Subfactors written by Zeph A. Landau and published by . This book was released on 1998 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Masaki Izumi
Publisher : American Mathematical Soc.
ISBN 13 : 0821829351
Total Pages : 215 pages
Book Rating : 4.8/5 (218 download)
Download or read book Kac Algebras Arising from Composition of Subfactors: General Theory and Classification written by Masaki Izumi and published by American Mathematical Soc.. This book was released on 2002 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title deals with a map $\alpha$ from a finite group $G$ into the automorphism group $Aut({\mathcal L})$ of a factor ${\mathcal L}$ satisfying (i) $G=N \rtimes H$ is a semi-direct product, (ii) the induced map $g \in G \to [\alpha_g] \in Out({\mathcal L})=Aut({\mathcal L})/Int({\mathcal L})$ is an injective homomorphism, and (iii) the restrictions $\alpha \! \! \mid_N, \alpha \! \! \mid_H$ are genuine actions of the subgroups on the factor ${\mathcal L}$. The pair ${\mathcal M}={\mathcal L} \rtimes_{\alpha} H \supseteq {\mathcal N}={\mathcal L} DEGREES{\alpha\mid_N}$ (of the crossed product ${\mathcal L} \rtimes_{\alpha} H$ and the fixed-point algebra ${\mathcal L} DEGREES{\alpha\mid_N}$) gives an irreducible inclusion of factors with Jones index $\# G$. The inclusion ${\mathcal M} \supseteq {\mathcal N}$ is of depth $2$ and hence known to correspond to a Kac algebra of dim
Author : Peter A. Fillmore
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871218
Total Pages : 338 pages
Book Rating : 4.8/5 (712 download)
Download or read book Operator Algebras and Their Applications written by Peter A. Fillmore and published by American Mathematical Soc.. This book was released on with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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?
Author : Huzihiro Araki
Publisher : World Scientific
ISBN 13 : 981455071X
Total Pages : 306 pages
Book Rating : 4.8/5 (145 download)
Download or read book Subfactors: Proceedings Of The Taniguchi Symposium On Operator Algebras written by Huzihiro Araki and published by World Scientific. This book was released on 1994-09-30 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Huzihiro Araki
Publisher : Springer Science & Business Media
ISBN 13 : 9401728232
Total Pages : 452 pages
Book Rating : 4.4/5 (17 download)
Download or read book Quantum and Non-Commutative Analysis written by Huzihiro Araki and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc. on the side of mathematics, quantum field theory and statistical mechanics on the side of mathematical physics. The new development is characterized by very strong relations and interactions between different research areas which were hitherto considered as remotely related. Focussing on these new developments in mathematical physics and theory of operator algebras, the International Oji Seminar on Quantum Analysis was held at the Kansai Seminar House, Kyoto, JAPAN during June 25-29, 1992 by a generous sponsorship of the Japan Society for the Promotion of Science and the Fujihara Foundation of Science, as a workshop of relatively small number of (about 50) invited participants. This was followed by an open Symposium at RIMS, described below by its organizer, A. Kishimoto. The Oji Seminar began with two key-note addresses, one by V.F.R. Jones on Spin Models in Knot Theory and von Neumann Algebras and by A. Jaffe on Where Quantum Field Theory Has Led. Subsequently topics such as Subfactors and Sector Theory, Solvable Models of Statistical Mechanics, Quantum Field Theory, Quantum Groups, and Renormalization Group Ap proach, are discussed. Towards the end, a panel discussion on Where Should Quantum Analysis Go? was held.
Author : Liming Ge
Publisher : American Mathematical Soc.
ISBN 13 : 0821810936
Total Pages : 416 pages
Book Rating : 4.8/5 (218 download)
Download or read book Operator Algebras and Operator Theory written by Liming Ge and published by American Mathematical Soc.. This book was released on 1998 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings from the International Conference on Operator Algebras and Operator Theory held at the East China Normal University in Shanghai (China). Participants in the conference ranged from graduate students to postdocs to leading experts who came from around the world. Topics covered were $C*$-algebras, von Neumann algebras, non-self-adjoint operator algebras, wavelets, operator spaces and other related areas. This work consists of contributions from invited speakers and some mathematicians who were unable to attend. It presents important mathematical ideas while maintaining the uniqueness and excitement of this very successful event.
Author : Narjess Afzaly
Publisher : American Mathematical Society
ISBN 13 : 1470447126
Total Pages : 94 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Classification of Subfactors with Index at Most $5 frac {1}{4}$ written by Narjess Afzaly and published by American Mathematical Society. This book was released on 2023-04-07 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Vaughan F. R. Jones
Publisher : Cambridge University Press
ISBN 13 : 0521584205
Total Pages : 178 pages
Book Rating : 4.5/5 (215 download)
Download or read book Introduction to Subfactors written by Vaughan F. R. Jones and published by Cambridge University Press. This book was released on 1997-05-15 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Bina Bhattacharyya
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (34 download)
Download or read book Krishnan-Sunder Subfactors and a New Countable Family of Subfactors Related to Trees written by Bina Bhattacharyya and published by . This book was released on 1998 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Pedersen
Publisher : CRC Press
ISBN 13 : 1000153940
Total Pages : 772 pages
Book Rating : 4.0/5 (1 download)
Download or read book Geometry and Physics written by H. Pedersen and published by CRC Press. This book was released on 2021-01-08 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on the proceedings of the Special Session on Geometry and Physics held over a six month period at the University of Aarhus, Denmark and on articles from the Summer school held at Odense University, Denmark. Offers new contributions on a host of topics that involve physics, geometry, and topology. Written by more than 50 leading international experts."
Author : Sergio Doplicher
Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.3/5 (91 download)
Download or read book Operator Algebras and Quantum Field Theory written by Sergio Doplicher and published by . This book was released on 1997 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers presented at a conference in Rome on operator algebras and quantum field theory. Invited contributions on noncommutative dynamical systems, the Baum-Cohnes and the Novikov conjecture, the Atiyah-Singer index theorem, and Banach Space aspects are included.
Author : Michael E. Burns
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.:/5 (34 download)
Download or read book Subfactors, Planar Algebras and Rotations written by Michael E. Burns and published by . This book was released on 2003 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Institut des hautes études scientifiques (Paris, France)
Publisher : American Mathematical Soc.
ISBN 13 : 0821852035
Total Pages : 695 pages
Book Rating : 4.8/5 (218 download)
Download or read book Quanta of Maths written by Institut des hautes études scientifiques (Paris, France) and published by American Mathematical Soc.. This book was released on 2010 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Nihon Sūgakkai
Publisher :
ISBN 13 :
Total Pages : 584 pages
Book Rating : 4.:/5 (321 download)
Download or read book JMSJ written by Nihon Sūgakkai and published by . This book was released on 2003 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.:/5 (44 download)
Download or read book Pacific Journal of Mathematics written by and published by . This book was released on 2001 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vijay Kodiyalam
Publisher : CRC Press
ISBN 13 : 9781420035551
Total Pages : 138 pages
Book Rating : 4.0/5 (355 download)
Download or read book Topological Quantum Field Theories from Subfactors written by Vijay Kodiyalam and published by CRC Press. This book was released on 2019-05-20 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Sante Gnerre
Publisher :
ISBN 13 :
Total Pages : 346 pages
Book Rating : 4.:/5 (34 download)
Download or read book Free Composition of Paragroups written by Sante Gnerre and published by . This book was released on 1997 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
