This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current status of research in the relevant fields. The book is also a special volume dedicated to the memory of Ronald G. Douglas who passed away on February 27, 2018 at the age of 79. Many of the contributors are Douglas’ students and past collaborators. Their articles attest and commemorate his life-long contribution and influence to these fields.
[ 63 ] S. Ghara and G. Misra , Decomposition of the tensor product of two Hilbert modules , In Operator Theory , Operator Algebras and Their Interactions with Geometry and Topology , ( Cham : Birkhäuser , 2020 ) , pp . 221–265 .
We let Fl(A) be the set of equivalence classes of flat points of A. If p : A — B is a homomorphism of finite dimensional k-algebras such that B is a projective A-module, then p induces a map p, ; Fl(A) — Fl(B) ; [o] H spoo).
During the last few years, the theory of operator algebras, particularly non-self-adjoint operator algebras, has evolved dramatically, experiencing both international growth and interfacing with other important areas. The present volume...
We will not treat applications in detail; however, we will outline the most striking of the applications to date in a section at the end, as well as mentioning others at suitable points in the text.
... and Brooke E Shipley, Editors, Interactions between homotopy theory and algebra, 2007 Krzysztof Jarosz, Editor, Function spaces, 2007 S. Paycha and B. Uribe, Editors, Geometric and topological methods for quantum field theory, ...
Model Theory and Applications
International Conference Midwest Algebra, Geometry and Their Interactions: October 7-11, 2005, University of Notre Dame, ... Operator theory, operator algebras, and applications, 2006 Georgia M. Benkart, Jens C. Jantzen, Zongzhu Lin, ...
The book concludes with applications of operator algebras to Atiyah-Singer type index theorems. The purpose of the book is to convey an outline and general idea of operator algebra theory, to some extent focusing on examples.
... and Brooke E Shipley, Editors, Interactions between homotopy theory and algebra, 2007 Krzysztof Jarosz, Editor, Function spaces, 2007 S. Paycha and B. Uribe, Editors, Geometric and topological methods for quantum field theory, ...
This book offers a comprehensive introduction to the general theory of C*-algebras and von Neumann algebras.