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Around trace formulas in non-commutative integration

Published 15 Jan 2017 in math.OA and math.QA | (1701.04127v1)

Abstract: Trace formulas are investigated in non-commutative integration theory. The main result is to evaluate the standard trace of a Takesaki dual and, for this, we introduce the notion of interpolator and accompanied boundary objects. The formula is then applied to explore a variation of Haagerup's trace formula.

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