Berezin Quantization From Ergodic Actions Of Compact Quantum Groups And Quantum Gromov Hausdorff Distance
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Berezin Quantization From Ergodic Actions Of Compact Quantum Groups And Quantum Gromov Hausdorff Distance
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Author : Jeremy Neil Sain
language : en
Publisher:
Release Date : 2009
Berezin Quantization From Ergodic Actions Of Compact Quantum Groups And Quantum Gromov Hausdorff Distance written by Jeremy Neil Sain and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Gromov Hausdorff Distance For Quantum Metric Spaces Matrix Algebras Converge To The Sphere For Quantum Gromov Hausdorff Distance
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Author : Marc Aristide Rieffel
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Gromov Hausdorff Distance For Quantum Metric Spaces Matrix Algebras Converge To The Sphere For Quantum Gromov Hausdorff Distance written by Marc Aristide Rieffel 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 2004 with Mathematics categories.
By a quantum metric space we mean a $C DEGREES*$-algebra (or more generally an order-unit space) equipped with a generalization of the usual Lipschitz seminorm on functions which one associates to an ordinary metric. We develop for compact quantum metric spaces a version of Gromov-Hausdorff di
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.
Operator Algebras Quantization And Noncommutative Geometry
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Author : Robert S. Doran
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Operator Algebras Quantization And Noncommutative Geometry written by Robert S. Doran 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 2004 with Computers categories.
John von Neumann and Marshall Stone were two giants of Twentieth Century mathematics. In honor of the 100th anniversary of their births, a mathematical celebration was organized featuring developments in fields where both men were major influences. This volume contains articles from the AMS Special Session, Operator Algebras, Quantization and Noncommutative Geometry: A Centennial Celebration in Honor of John von Neumann and Marshall H. Stone. Papers range from expository and refereed and cover a broad range of mathematical topics reflecting the fundamental ideas of von Neumann and Stone. Most contributions are expanded versions of the talks and were written exclusively for this volume. Included, among Also featured is a reprint of P.R. Halmos's The Legend of John von Neumann. The book is suitable for graduate students and researchers interested in operator algebras and applications, including noncommutative geometry.
Quantum Gromov Hausdorff Distance And Continuity Of Connes And Dubois Violette S 0 Deformations
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Author : Hanfeng Li
language : en
Publisher:
Release Date : 2002
Quantum Gromov Hausdorff Distance And Continuity Of Connes And Dubois Violette S 0 Deformations written by Hanfeng Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Study Of Compact Quantum Groups With Probabilistic Methods
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Author : Souleiman Omar hoch
language : en
Publisher:
Release Date : 2017
Study Of Compact Quantum Groups With Probabilistic Methods written by Souleiman Omar hoch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
This thesis studies problems linked to the lattice of quantum subgroups and characterizationof ergodic actions and idempotent states of a compact quantum group. It consistsof three parts. The first part present some preliminary results about locally compactquantum groups, normal quantum subgroups, ergodic actions and idempotent states. Thesecond part studies the quantum analog of Dedekind's modularity law, Noether's isomorphismtheorem and their consequences as the Schreier refinement theorem and theJordan-Hölder theorem. This part completes the work of Shuzhou WANG on the quantumanalog of the third isomorphism theorem for compact quantum group and the recentwork of Kasprzak, Khosravi and Soltan on the quantum analog of the first Noether isomorphismtheorem for locally compact quantum groups. In the third part, we characterizeidempotent states of the compact quantum group O-1(2) relying on the characterizationof embeddable ergodic actions. This third part is in the sequence of the seminal works ofFranz, Skalski and Tomatsu for the compact quantum groups Uq(2), SUq(2) and SOq(3).We classify in advance the ergodic actions and embeddable ergodic actions of the compactquantum group O-1(2).This thesis is based on two papers of the author and al. The first one is entitled"Fundamental isomorphism theorems for quantum groups" which have been accepted forpublication in Expositionae Mathematicae and the second one is entitled "Ergodic actionsand idempotent states of O-1(2)" and is being finalized for submission.
Deformations Of Compact Quantum Groups Via Rieffel S Quantization
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Author : S. Wang
language : en
Publisher:
Release Date : 1995
Deformations Of Compact Quantum Groups Via Rieffel S Quantization written by S. Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.