$C^*$-Algebras (eBook)

1943-1993

Robert S Doran (Herausgeber)

eBook Download: PDF

2011
399 Seiten
American Mathematical Society (Verlag)
978-0-8218-7758-6 (ISBN)

Infos

This volume contains the proceedings of an AMS Special Session held at the Joint Mathematics Meetings in San Antonio in January 1993 to celebrate the first fifty years of $C^*$-algebra theory. The book contains carefully written expository and research articles by leaders in the field. Also included is a reprinting of the original 1943 paper on $C^*$-algebras by Gelfand and Neumark, which has had such a profound influence on the field. The volume covers a broad spectrum of topics, including the Gelfand-Neumark theorems, $C^*$-algebras and quantization, projections in $C^*$-algebras, Mackey's theory of group representations and their relation to $C^*$-algebras, transformation group $C^*$-algebras, the influence of algebraic topology on $C^*$-algebras, K-theory and index theory in operator algebras, exponential rank in $C^*$-algebras, and a survey of the development of type III von Neumann algebras. With historical perspectives and up-to-date overviews to orient readers new to the field, this book will interest mathematicians, physicists, and mathematical historians.

Produkt-Details

• Erscheint lt. Verlag: 11.1.2011
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• ISBN-10: 0-8218-7758-5 / 0821877585
• ISBN-13: 978-0-8218-7758-6 / 9780821877586