Classification of Ring and $C^\ast $-Algebra Direct Limits of Finite-Dimensional Semisimple Real Algebras

Classification of Ring and $C^\ast $-Algebra Direct Limits of Finite-Dimensional Semisimple Real Algebras
Author: K. R. Goodearl
Publisher: American Mathematical Soc.
Total Pages: 161
Release: 1987
Genre: Mathematics
ISBN: 082182435X

Motivated by (i) Elliott's classification of direct limits of countable sequences of finite-dimensional semisimple complex algebras and complex AF C*-algebras, (ii) classical results classifying involutions on finite-dimensional semisimple complex algebras, and (iii) the classification by Handelman and Rossmann of automorphisms of period two on the algebras appearing in (i) we study the real algebras described above and completely classify them, up to isomorphism, Morita equivalence, or stable isomorphism. We also show how our classification easily distinguishes various types of algebras within the given classes, and we partially solve the problem of determining exactly which values are attained by the invariants used in classifying these algebras.

Trends in Ring Theory

Trends in Ring Theory
Author: Vlastimil Dlab
Publisher: American Mathematical Soc.
Total Pages: 284
Release: 1998
Genre: Rings (Algebra)
ISBN: 9780821808498

The Ring Theory Conference, held a the University of Miskolc, Hungary, successfully accomplished its two goals: to reflect contemporary trends in the subject area; and to offer a meeting place for a large number of Eastern European algebraists and their colleagues from around the world. Particular emphasis was placed on recent developments in the following four areas: representation theory, group algebras, PI algebras and general ring theory. This book presents 13 of the invited lectures.

Current Topics In Operator Algebras - Proceedings Of The Satellite Conference Of Icm - 90

Current Topics In Operator Algebras - Proceedings Of The Satellite Conference Of Icm - 90
Author: Y Nakagami
Publisher: World Scientific
Total Pages: 450
Release: 1991-04-29
Genre:
ISBN: 981455622X

The topics covered in this proceedings include the C* — dynamical systems, the index theory of subfactors, the noncommutative differential geometry and the quantum groups. This volume presents an overview of the present status of the theory of operator algebras, as well as an outlook for its future development.

New Trends in Noncommutative Algebra

New Trends in Noncommutative Algebra
Author: Ara, Pere
Publisher: American Mathematical Soc.
Total Pages: 326
Release: 2012
Genre: Mathematics
ISBN: 0821852973

This volume contains the proceedings of the conference `New Trends in Noncommutative Algebra', held at the University of Washington, Seattle, in August 2010. The articles will provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Calabi-Yau algebras, quantum algebras and deformation quantization, Poisson algebras, group algebras, and noncommutative Iwasawa algebras.

Dimensions and $C^\ast $-Algebras

Dimensions and $C^\ast $-Algebras
Author: Edward G. Effros
Publisher: American Mathematical Soc.
Total Pages: 90
Release: 1981
Genre: Mathematics
ISBN: 0821816977

Discusses elementary algebras and $C DEGREES*$-algebras, namely those which are direct limits of complex semi simple al

Operator Algebras and Their Applications

Operator Algebras and Their Applications
Author: Robert S. Doran
Publisher: American Mathematical Soc.
Total Pages: 282
Release: 2016-07-28
Genre: Mathematics
ISBN: 1470419483

his volume contains the proceedings of the AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison, held from January 10–11, 2015, in San Antonio, Texas. Richard V. Kadison has been a towering figure in the study of operator algebras for more than 65 years. His research and leadership in the field have been fundamental in the development of the subject, and his influence continues to be felt though his work and the work of his many students, collaborators, and mentees. Among the topics addressed in this volume are the Kadison-Kaplanksy conjecture, classification of C∗-algebras, connections between operator spaces and parabolic induction, spectral flow, C∗-algebra actions, von Neumann algebras, and applications to mathematical physics.

Representation Theory and Numerical AF-Invariants

Representation Theory and Numerical AF-Invariants
Author: Ola Bratteli
Publisher: American Mathematical Soc.
Total Pages: 202
Release: 2004
Genre: Mathematics
ISBN: 0821834916

Part A. Representation theory Part B. Numerical AF-invariants Bibliography List of figures List of tables List of terms and symbols.