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Item Details
Title: COMBINATORIAL THEORY OF THE FREE PRODUCT WITH AMALGAMATION AND OPERATOR-VALUED FREE PROBABILITY THEORY
By: Roland Speicher
Format: Paperback

List price: £40.95


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ISBN 10: 0821806939
ISBN 13: 9780821806937
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 January, 1998
Series: Memoirs of the American Mathematical Society No. 627
Pages: 88
Description: Free probability theory, introduced by Voiculescu, has had an impact in different fields of mathematics and physics. This book emphasizes the combinatorial structure of the concept of 'freeness', which gives an accessible description of freeness and leads to fresh results in unexpected directions.
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.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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