| Hochschild Cohomology of Von Neumann Algebras Contributor(s): Sinclair, A. (Author), Smith, Roger R. (Author), Sinclair, Allan M. (Author) |
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ISBN: 0521478804 ISBN-13: 9780521478809 Publisher: Cambridge University Press OUR PRICE: $44.64 Product Type: Paperback - Other Formats Published: April 1995 Annotation: The continuous Hochschild cohomology of dual normal modules over a von Neumann algebra is the subject of this book. The necessary technical results are developed assuming a familiarity with basic C*-algebra and von Neumann algebra theory, including the decomposition into two types, but no prior knowledge of cohomology theory is required and the theory of completely bounded and multilinear operators is given fully. Central to this book are those cases when the continuous Hochschild cohomology H(superscript n)(M, M) of the von Neumann algebra M over itself is zero. 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General - Mathematics | Probability & Statistics - General - Mathematics | Algebra - Abstract |
| Dewey: 514.23 |
| LCCN: 94038845 |
| Series: London Mathematical Society Lecture Notes |
| Physical Information: 0.49" H x 6.01" W x 8.96" (0.66 lbs) 208 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 |