Author: Richard V. KadisonPublisher: American Mathematical Soc.
ISBN: 9780821814444
Category : Mathematics
Languages : en
Pages : 808
Book Description
Operator Algebras and Applications, Part 2
Author: Richard V. KadisonPublisher: American Mathematical Soc.
ISBN: 9780821814444
Category : Mathematics
Languages : en
Pages : 808
Book Description
Global Aspects of Ergodic Group Actions
Author: A. S. KechrisPublisher: American Mathematical Soc.
ISBN: 0821848941
Category : Mathematics
Languages : en
Pages : 258
Book Description
A study of ergodic, measure preserving actions of countable discrete groups on standard probability spaces. It explores a direction that emphasizes a global point of view, concentrating on the structure of the space of measure preserving actions of a given group and its associated cocycle spaces.
Rings of Operators
Author: Irving KaplanskyPublisher:
ISBN:
Category : Lattice theory
Languages : en
Pages : 151
Book Description
Ten Lectures on Operator Algebras
Author: William ArvesonPublisher: American Mathematical Soc.
ISBN: 9780821889008
Category : Mathematics
Languages : en
Pages : 108
Book Description
This book contains expanded versions of ten lectures delivered at Texas Tech University in the summer of 1983. The operator algebras of the title are nonselfadjoint algebras of operators on Hilbert space.
Group Representations, Ergodic Theory, and Mathematical Physics
Author: Robert S. DoranPublisher: American Mathematical Soc.
ISBN: 0821842250
Category : Mathematics
Languages : en
Pages : 458
Book Description
George Mackey was an extraordinary mathematician of great power and vision. His profound contributions to representation theory, harmonic analysis, ergodic theory, and mathematical physics left a rich legacy for researchers that continues today. This book is based on lectures presented at an AMS special session held in January 2007 in New Orleans dedicated to his memory. The papers, written especially for this volume by internationally-known mathematicians and mathematical physicists, range from expository and historical surveys to original high-level research articles. The influence of Mackey's fundamental ideas is apparent throughout. The introductory article contains recollections from former students, friends, colleagues, and family as well as a biography describing his distinguished career as a mathematician at Harvard, where he held the Landon D. Clay Professorship of Mathematics.
Linear Algebraic Groups
Author: Armand BorelPublisher: Springer Science & Business Media
ISBN: 1461209412
Category : Mathematics
Languages : en
Pages : 301
Book Description
This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. It then turns to solvable groups, general properties of linear algebraic groups, and Chevally’s structure theory of reductive groups over algebraically closed groundfields. It closes with a focus on rationality questions over non-algebraically closed fields.
Noncommutative Geometry
Author: Alain ConnesPublisher: Springer
ISBN: 3540397027
Category : Mathematics
Languages : en
Pages : 364
Book Description
Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.
Von Neumann Algebras
Author: J. DixmierPublisher: Elsevier
ISBN: 0080960154
Category : Mathematics
Languages : en
Pages : 479
Book Description
In this book, we study, under the name of von Neumann algebras, those algebras generally known as “rings of operators“ or “W*-algebras.“ The new terminology, suggested by J. Dieudonng, is fully justified from the historical point of view. Certain of the results are valid for more general algebras. We have, however systematically avoided this kind of generalization, except when it would facilitate the study of von Neumann algebras themselves. Parts I and I1 comprise those results which at present appear to’be the most useful for applications, although we do not embark on the study of those applications. Part 111, which is more technical, is primarily intended for specialists; it is virtually independent of Part 11.
Decompositions of Operator Algebras, I and II
Author: Irving Ezra SegalPublisher: American Mathematical Soc.
ISBN: 0821812092
Category : Algebra
Languages : en
Pages : 138
Book Description
Operator Structures and Dynamical Systems
Author: Marcel de JeuPublisher: American Mathematical Soc.
ISBN: 0821847473
Category : Mathematics
Languages : en
Pages : 329
Book Description
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.