Around trace formulas in non-commutative integration
Shigeru Yamagami
TL;DR
This paper explores trace formulas within non-commutative integration, introducing new concepts like interpolators to evaluate traces and applying these to variations of Haagerup's trace formula.
Contribution
It introduces the notion of interpolators and boundary objects to evaluate traces in non-commutative integration, extending existing trace formulas.
Findings
Evaluated the standard trace of a Takesaki dual
Introduced the concept of interpolator and boundary objects
Applied results to a variation of Haagerup's trace formula
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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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Algebra and Geometry · Algebraic structures and combinatorial models