Vanishing of the cyclic cohomology of infinite von Neumann algebras

Details Vanishing of the cyclic cohomology of infinite von Neumann algebras Vanishing of the cyclic cohomology of infinite von Neumann algebras

2006-06-21

arxiv.org/abs/math/0606544v1

Mathematics

Operator Algebras

Scientific paper

We prove that if A is an infinite von Neumann algebra (i. e., the identity
can be decomposed as a sum of a sequence of pairwise disjoint projections, all
equivalent to the identity) then the cyclic cohomology of A vanishes. We show
that the method of the proof applies to certain algebras of infinite matrices.

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