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math.OA2017★ 2 cited
Notes on the bicategory of W*-bimodules
Yusuke Sawada, Shigeru Yamagami
Categories of W*-bimodules are shown in an explicit and algebraic way to constitute an involutive W*-bicategory.
math.OA2017★ 1 cited
Around trace formulas in non-commutative integration
Shigeru Yamagami
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 o…
math.OA2002
Notes on Operator Categories
Shigeru Yamagami
The bicategory of normal functors between W*-categories is monoidally equivalent to the bicategory of W*-bimodules.
math.OA1999
C*-tensor categories and free product bimodules
Shigeru Yamagami
A C*-tensor category with simple unit object is realized by von Neumann algebra bimodules of finite Jones index if and only if it is rigid.