Abstract:Abstract. Fix a von Neumann algebra N equipped with a suitable trace τ. For a path of self-adjoint Breuer-Fredholm operators, the spectral ow measures the net amount of spectrum which moves from negative to non-negative. We consider speci cally the case of paths of bounded perturbations of a xed unbounded self-adjoint BreuerFredholm operator a liated with N. If the unbounded operator is p-summable (that is, its resolvents are contained in the ideal L p ), then it is possible to obtain an integral formula which… Show more
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