Combinatorial Theory of the Free Product With Amalgamation and Operator-Valued Free Probability Theory (Memoirs of the American Mathematical Society) - Softcover

Speicher, Roland; Speicher, Ronald

Softcover

ISBN 10: 0821806939 ISBN 13: 9780821806937

Publisher: Amer Mathematical Society, 1998

Synopsis

Free probability theory, introduced by Voiculescu, has developed very actively in the last few years and has had an increasing impact on quite different fields in mathematics and physics. Whereas the subject arose out of the field of von Neumann algebras, presented here is a quite different view of Voiculescu's amalgamated free product. This combinatorial description not only allows re-proving of most of Voiculescu's results in a concise and elegant way, but also opens the way for many new results.

Unlike other approaches, this book emphasizes the combinatorial structure of the concept of "freeness". This gives an elegant and easily accessible description of freeness and leads to new results in unexpected directions. Specifically, a mathematical framework for otherwise quite ad hoc approximations in physics emerges.

Edition details

• Publisher: Amer Mathematical Society
• Publication date: 1998
• ISBN 10: 0821806939
• ISBN 13: 9780821806937
• Binding: Paperback
• Language: English
• Number of pages: 88