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25 papers · 1 filter
The Rokhlin property for inclusions of C*-algebras
Hiroyuki Osaka, Tamotsu Teruya
Let be an inclusion of -unital C*-algebras with a finite index in the sense of Izumi. Then we introduce the Rokhlin property for a conditional expectation from…
Rokhlin Property for Group Actions on Hilbert -modules
Santanu Dey, Hiroyuki Osaka, Harsh Trivedi
We introduce Rokhlin properties for certain discrete group actions on -correspondences as well as on Hilbert bimodules and analyze them. It turns out that the group actions on…
Pure states on Cuntz algebras arising from geometric progressions
Katsunori Kawamura
Let denote the Cuntz algebra for . We introduce an embedding of into arising from a geometric progression of Cuntz generaters of…
Classification of sub-Cuntz states
Katsunori Kawamura
Let denote the Cuntz algebra for . With respect to a homogeneous embedding of into , an extension of a Cuntz state on ${\c…
The Jiang-Su absorption for inclusions of unital C*-algebras
Hiroyuki Osaka, Tamotsu Teruya
In this paper we will introduce the tracial Rokhlin property for an inclusion of separable simple unital C*-algebras with finite index in the sense of Watatani, and p…
The linear span of projections in AH algebras and for inclusions of C*-algebras
Dinh Trung Hoa, Toan Minh Ho, Hiroyuki Osaka
A -algebra is said to have the LP property if the linear span of projections is dense in a given algebra. In the first part of this paper, we show that an AH algebra $A = \und…