Wyniki wyszukiwania

1

Tracial states on crossed products associated with Furstenberg transformations on the 2-torus

100%

Kodaka K.

Studia Mathematica

|

1995

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tom 115

|

nr 2

183-187

EN

Let $ϕ_f$ be a Furstenberg transformation on the 2-torus $𝕋^2$ defined by $ϕ_{f}(x,y) = (e^{2πiθ}x, e^{2πif(x)}xy) for any x,y ∈ 𝕋, where θ is an irrational number and f is a real-valued continuous function on the 1-torus 𝕋. Let $A(ϕ_{f})$ be the crossed product associated with $ϕ_{f}$. We show that $A(ϕ_{f})$ has a unique tracial state for any irrational number θ and any real-valued continuous function f on 𝕋.

2

Erratum to "Tracial states on crossed products associated with Furstenberg transformations on the 2-torus" (Studia Math. 115 (1995), 183-187)

100%

Kodaka K.

Studia Mathematica

|

1996

|

tom 119

|

nr 1

97-98

3

The strong Morita equivalence for coactions of a finite-dimensional C-Hopf algebra on unital C-algebras

63%

Kodaka K., Teruya T.

Studia Mathematica

|

2015

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tom 228

|

nr 3

259-294

EN

Following Jansen and Waldmann, and Kajiwara and Watatani, we introduce notions of coactions of a finite-dimensional C*-Hopf algebra on a Hilbert C*-bimodule of finite type in the sense of Kajiwara and Watatani and define their crossed product. We investigate their basic properties and show that the strong Morita equivalence for coactions preserves the Rokhlin property for coactions of a finite-dimensional C*-Hopf algebra on unital C*-algebras.

Ograniczanie wyników

3 Studia Mathematica

3 Kodaka K.

1 Teruya T.

1 2015

1 1996

1 1995

Tracial states on crossed products associated with Furstenberg transformations on the 2-torus

Erratum to "Tracial states on crossed products associated with Furstenberg transformations on the 2-torus" (Studia Math. 115 (1995), 183-187)

The strong Morita equivalence for coactions of a finite-dimensional C-Hopf algebra on unital C-algebras

Ograniczanie wyników

3 Studia Mathematica

3 Kodaka K.

1 Teruya T.

1 2015

1 1996

1 1995

Wyniki wyszukiwania

Tracial states on crossed products associated with Furstenberg transformations on the 2-torus

Erratum to "Tracial states on crossed products associated with Furstenberg transformations on the 2-torus" (Studia Math. 115 (1995), 183-187)

The strong Morita equivalence for coactions of a finite-dimensional C*-Hopf algebra on unital C*-algebras

The strong Morita equivalence for coactions of a finite-dimensional C-Hopf algebra on unital C-algebras