Hochschild Cohomology of Von Neumann Algebras

by Allan M. Sinclair , Roger R. Smith

• ISBN13: 9780521478809
• ISBN10: 0521478804
• Format: Paperback
• Copyright: 1995-04-28
• Publisher: Cambridge University Press

Summary

The subject of this book is the continuous Hochschild cohomology of dual normal modules over a von Neumann algebra. The authors develop the necessary technical results, assuming a familiarity with basic C*-algebra and von Neumann algebra theory, including the decomposition into types, but no prior knowledge of cohomology theory is required and the theory of completely bounded and multilinear operators is given fully. Those cases when the continuous Hochschild cohomology Hn(M,M) of the von Neumann algebra M over itself is zero are central to this book. The material in this book lies in the area common to Banach algebras, operator algebras and homological algebra, and will be of interest to researchers from these fields.

Table of Contents

Preface

1. An historical introduction to biocatalysis using enzymes and microorganisms

2. The inter-relationship between enzymes and cells with particular reference to whole-cell biotransformations using bacteria and fungi

3. Useful intermediates and end-products obtained from whole-cell/enzyme catalysed hydrolysis and esterification reactions

4. Useful intermediates and end-products obtained from biocatalysed oxidation and reduction reactions

5. Useful intermediates and end-products obtained from biocatalysed carbon-carbon, carbon-oxygen, carbon-nitrogen, and carbon-chalcogen bond-forming reactions

6. The application of biocatalysis to the manufacture of fine chemicals

Index.