Publications of the Research Institute for Mathematical Sciences

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Volume 54, Issue 1, 2018, pp. 181–211
DOI: 10.4171/PRIMS/54-1-7

Published online: 2018-01-17

Around Trace Formulas in Non-commutative Integration

Shigeru Yamagami[1]

(1) Nagoya University, Japan

Trace formulas are investigated in non-commutative integration theory. The main result is to evaluate the standard trace of Takesaki duals 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.

Keywords: Von Neumann algebra, non-commutative integration, trace formula

Yamagami Shigeru: Around Trace Formulas in Non-commutative Integration. Publ. Res. Inst. Math. Sci. 54 (2018), 181-211. doi: 10.4171/PRIMS/54-1-7