Download E-books Hochschild Cohomology of Von Neumann Algebras (London Mathematical Society Lecture Note Series) PDF

By Allan M. Sinclair

The topic of this e-book is the continual Hochschild cohomology of twin basic modules over a von Neumann algebra. The authors strengthen the required technical effects, assuming a familiarity with easy C*-algebra and von Neumann algebra idea, together with the decomposition into kinds, yet no earlier wisdom of cohomology conception is needed and the speculation of thoroughly bounded and multilinear operators is given totally. these circumstances whilst the continual Hochschild cohomology Hn(M,M) of the von Neumann algebra M over itself is 0 are vital to this booklet. the fabric during this ebook lies within the sector universal to Banach algebras, operator algebras and homological algebra, and should be of curiosity to researchers from those fields.

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