2 citations · 2 across the 3 of their papers we have counts for
4 papers · 1 filter
Operator-valued maximal -divergences for completely positive maps
Rui Okayasu
We introduce an operator-valued maximal f-divergence for completely positive (CP) maps between von Neumann algebras, associated with an operator convex function f on (0,+infinity).…
Geometric mean and Lebesgue-type decomposition of completely positive maps
Rui Okayasu
We introduce the geometric mean and the parallel sum of completely positive (CP) maps between von Neumann algebras, based on the Pusz--Woronowicz theory of positive sesquilinear fo…
Haagerup approximation property via bimodules
Rui Okayasu, Narutaka Ozawa, Reiji Tomatsu
The Haagerup approximation property (HAP) is defined for finite von Neumann algebras in such a way that the group von Neumann algebra of a discrete group has the HAP if and only if…
Cuntz-Krieger-Pimsner Algebras Associated with Amalgamated Free Product Groups
Rui Okayasu
We give a construction of a nuclear -algebra associated with an amalgamated free product of groups, generalizing Spielberg's construction of a certain Cuntz-Krieger algebra…