Download or read book Combinatorial Theory of the Free Product with Amalgamation and written by Roland Speicher and published by Oxford University Press, USA. This book was released on 2014-09-11 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Free probability theory, introduced by Voiculescu, has developed very actively 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 allows re-proving of most of Voiculescu's results and also opens the way for many new results.