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.
General
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