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Operator Algebras For Multivariable Dynamics
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Book Synopsis Operator Algebras for Multivariable Dynamics by : Kenneth R. Davidson
Download or read book Operator Algebras for Multivariable Dynamics written by Kenneth R. Davidson and published by American Mathematical Soc.. This book was released on 2011 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $X$ be a locally compact Hausdorff space with $n$ proper continuous self maps $\sigma_i:X \to X$ for $1 \le i \le n$. To this the authors associate two conjugacy operator algebras which emerge as the natural candidates for the universal algebra of the system, the tensor algebra $\mathcal{A}(X,\tau)$ and the semicrossed product $\mathrm{C}_0(X)\times_\tau\mathbb{F}_n^+$. They develop the necessary dilation theory for both models. In particular, they exhibit an explicit family of boundary representations which determine the C*-envelope of the tensor algebra.|Let $X$ be a locally compact Hausdorff space with $n$ proper continuous self maps $\sigma_i:X \to X$ for $1 \le i \le n$. To this the authors associate two conjugacy operator algebras which emerge as the natural candidates for the universal algebra of the system, the tensor algebra $\mathcal{A}(X,\tau)$ and the semicrossed product $\mathrm{C}_0(X)\times_\tau\mathbb{F}_n^+$. They develop the necessary dilation theory for both models. In particular, they exhibit an explicit family of boundary representations which determine the C*-envelope of the tensor algebra.
Book Synopsis Recent Advances in Operator Theory and Operator Algebras by : Hari Bercovici
Download or read book Recent Advances in Operator Theory and Operator Algebras written by Hari Bercovici and published by CRC Press. This book was released on 2017-08-07 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.
Book Synopsis Dynamical Entropy in Operator Algebras by : Sergey Neshveyev
Download or read book Dynamical Entropy in Operator Algebras written by Sergey Neshveyev and published by Springer Science & Business Media. This book was released on 2006-09-22 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses mathematicians and physicists, including graduate students, who are interested in quantum dynamical systems and applications of operator algebras and ergodic theory. It is the only monograph on this topic. Although the authors assume a basic knowledge of operator algebras, they give precise definitions of the notions and in most cases complete proofs of the results which are used.
Book Synopsis Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension by : Aidan Sims
Download or read book Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension written by Aidan Sims and published by Springer Nature. This book was released on 2020-06-22 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the notes of the lectures given at the Advanced Course on Crossed Products, Groupoids, and Rokhlin dimension, that took place at the Centre de Recerca Matemàtica (CRM) from March 13 to March 17, 2017. The notes consist of three series of lectures. The first one was given by Dana Williams (Dartmouth College), and served as an introduction to crossed products of C*-algebras and the study of their structure. The second series of lectures was delivered by Aidan Sims (Wollongong), who gave an overview of the theory of topological groupoids (as a model for groups and group actions) and groupoid C*-algebras, with particular emphasis on the case of étale groupoids. Finally, the last series was delivered by Gábor Szabó (Copenhagen), and consisted of an introduction to Rokhlin type properties (mostly centered around the work of Hirshberg, Winter and Zacharias) with hints to the more advanced theory related to groupoids.
Book Synopsis Operator Algebra and Dynamics by : Toke M. Carlsen
Download or read book Operator Algebra and Dynamics written by Toke M. Carlsen and published by Springer Science & Business Media. This book was released on 2013-12-03 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on presentations given at the NordForsk Network Closing Conference “Operator Algebra and Dynamics,” held in Gjáargarður, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with possible applications to physics, engineering and computer science. It covers the following topics: von Neumann algebras arising from discrete measured groupoids, purely infinite Cuntz-Krieger algebras, filtered K-theory over finite topological spaces, C*-algebras associated to shift spaces (or subshifts), graph C*-algebras, irrational extended rotation algebras that are shown to be C*-alloys, free probability, renewal systems, the Grothendieck Theorem for jointly completely bounded bilinear forms on C*-algebras, Cuntz-Li algebras associated with the a-adic numbers, crossed products of injective endomorphisms (the so-called Stacey crossed products), the interplay between dynamical systems, operator algebras and wavelets on fractals, C*-completions of the Hecke algebra of a Hecke pair, semiprojective C*-algebras, and the topological dimension of type I C*-algebras. Operator Algebra and Dynamics will serve as a useful resource for a broad spectrum of researchers and students in mathematics, physics, and engineering.
Book Synopsis Operator Algebras in Dynamical Systems by : Shōichirō Sakai
Download or read book Operator Algebras in Dynamical Systems written by Shōichirō Sakai and published by Cambridge University Press. This book was released on 1991-08-30 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made a considerable contribution. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum statistical mechanics within the framework of the C*-theory. The presentation, which is based on lectures given in Newcastle upon Tyne and Copenhagen, concentrates on topics involving quantum statistical mechanics and differentiations on manifolds. One of the goals is to formulate the absence theorem of phase transitions in its most general form within the C* setting. For the first time, he globally constructs, within that setting, derivations for a fairly wide class of interacting models, and presents a new axiomatic treatment of the construction of time evolutions and KMS states.
Book Synopsis Operator Structures and Dynamical Systems by : Marcel de Jeu
Download or read book Operator Structures and Dynamical Systems written by Marcel de Jeu and published by American Mathematical Soc.. This book was released on 2009-11-30 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a Leiden Workshop on Dynamical Systems and their accompanying Operator Structures which took place at the Lorentz Center in Leiden, The Netherlands, on July 21-25, 2008. These papers offer a panorama of selfadjoint and non-selfadjoint operator algebras associated with both noncommutative and commutative (topological) dynamical systems and related subjects. Papers on general theory, as well as more specialized ones on symbolic dynamics and complex dynamical systems, are included.
Book Synopsis Operator Theory, Operator Algebras, and Applications by : Deguang Han
Download or read book Operator Theory, Operator Algebras, and Applications written by Deguang Han and published by American Mathematical Soc.. This book was released on 2006 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a presentation of some new trends in operator theory and operator algebras, with a view to their applications. It consists of separate papers written by some of the leading practitioners in the field. The content is put together by the three editors in a way that should help students and working mathematicians in other parts of the mathematical sciences gain insight into an important part of modern mathematics and its applications. While different specialist authors are outlining new results in this book, the presentations have been made user friendly with the aid of tutorial material. In fact, each paper contains three things: a friendly introduction with motivation, tutorial material, and new research. The authors have strived to make their results relevant to the rest of mathematics. A list of topics discussed in the book includes wavelets, frames and their applications, quantum dynamics, multivariable operator theory, $C*$-algebras, and von Neumann algebras. Some longer papers present recent advances on particular, long-standing problems such as extensions and dilations, the Kadison-Singer conjecture, and diagonals of self-adjoint operators.
Book Synopsis Operator Theory, Operator Algebras, and Matrix Theory by : Carlos André
Download or read book Operator Theory, Operator Algebras, and Matrix Theory written by Carlos André and published by Birkhäuser. This book was released on 2018-08-22 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of invited survey articles and research papers in the scientific areas of the “International Workshop on Operator Algebras, Operator Theory and Applications,” which was held in Lisbon in July 2016. Reflecting recent developments in the field of algebras of operators, operator theory and matrix theory, it particularly focuses on groupoid algebras and Fredholm conditions, algebras of approximation sequences, C* algebras of convolution type operators, index theorems, spectrum and numerical range of operators, extreme supercharacters of infinite groups, quantum dynamics and operator algebras, and inverse eigenvalue problems. Establishing bridges between the three related areas of operator algebras, operator theory, and matrix theory, the book is aimed at researchers and graduate students who use results from these areas.
Book Synopsis Operator Algebras in Dynamical Systems by : Shtichirt Sakai
Download or read book Operator Algebras in Dynamical Systems written by Shtichirt Sakai and published by . This book was released on 2014-05-18 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is essential reading for graduate students and professionals working in operator algebras, mathematical physics and functional analysis.
Book Synopsis Recent Advances in Operator Theory and Operator Algebras by : Hari Bercovici
Download or read book Recent Advances in Operator Theory and Operator Algebras written by Hari Bercovici and published by CRC Press. This book was released on 2017-08-07 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.
Book Synopsis Semicrossed Products of Operator Algebras by Semigroups by : Kenneth R. Davidson
Download or read book Semicrossed Products of Operator Algebras by Semigroups written by Kenneth R. Davidson and published by American Mathematical Soc.. This book was released on 2017-04-25 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors examine the semicrossed products of a semigroup action by -endomorphisms on a C*-algebra, or more generally of an action on an arbitrary operator algebra by completely contractive endomorphisms. The choice of allowable representations affects the corresponding universal algebra. The authors seek quite general conditions which will allow them to show that the C*-envelope of the semicrossed product is (a full corner of) a crossed product of an auxiliary C*-algebra by a group action. Their analysis concerns a case-by-case dilation theory on covariant pairs. In the process we determine the C*-envelope for various semicrossed products of (possibly nonselfadjoint) operator algebras by spanning cones and lattice-ordered abelian semigroups.
Book Synopsis Rearranging Dyson-Schwinger Equations by : Karen Yeats
Download or read book Rearranging Dyson-Schwinger Equations written by Karen Yeats and published by American Mathematical Soc.. This book was released on 2011 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dyson-Schwinger equations are integral equations in quantum field theory that describe the Green functions of a theory and mirror the recursive decomposition of Feynman diagrams into subdiagrams. Taken as recursive equations, the Dyson-Schwinger equations describe perturbative quantum field theory. However, they also contain non-perturbative information. Using the Hopf algebra of Feynman graphs the author follows a sequence of reductions to convert the Dyson-Schwinger equations to a new system of differential equations.
Book Synopsis Dynamics. Vector analysis and multiple algebra. Electromagnetic theory of light, etc by : Josiah Willard Gibbs
Download or read book Dynamics. Vector analysis and multiple algebra. Electromagnetic theory of light, etc written by Josiah Willard Gibbs and published by . This book was released on 1906 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific Papers of J. Willard Gibbs ...: Dynamics. Vector analysis and multiple algebra. Electromagnetic theory of light, etc by : Josiah Willard Gibbs
Download or read book Scientific Papers of J. Willard Gibbs ...: Dynamics. Vector analysis and multiple algebra. Electromagnetic theory of light, etc written by Josiah Willard Gibbs and published by . This book was released on 1906 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Shape of a Pure $O$-Sequence by : Mats Boij
Download or read book On the Shape of a Pure $O$-Sequence written by Mats Boij and published by American Mathematical Soc.. This book was released on 2012 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: A monomial order ideal is a finite collection X of (monic) monomials such that, whenever M∈X and N divides M, then N∈X. Hence X is a poset, where the partial order is given by divisibility. If all, say t t, maximal monomials of X have the same degree, then X is pure (of type t). A pure O-sequence is the vector, h_=(h0=1,h1,...,he), counting the monomials of X in each degree. Equivalently, pure O-sequences can be characterized as the f-vectors of pure multicomplexes, or, in the language of commutative algebra, as the h h-vectors of monomial Artinian level algebras. Pure O-sequences had their origin in one of the early works of Stanley's in this area, and have since played a significant role in at least three different disciplines: the study of simplicial complexes and their f f-vectors, the theory of level algebras, and the theory of matroids. This monograph is intended to be the first systematic study of the theory of pure O-sequences.
