projective modules in dual Banach algebras

Subject Areas : Statistics

Elham Ilka ¹ (Department of Mathematics and Statistics, Faculty of Basic Sciences, Islamic Azad University, Central Tehran Branch, Tehran, Iran)
Amin Mahmoodi ² (Department of Mathematics and Statistics, Faculty of Basic Sciences, Islamic Azad University, Central Tehran Branch, Tehran, Iran)

Received: 2019-11-12 Accepted : 2020-06-07 Published : 2021-05-22

Keywords: مدول تصویری, جبرهای باناخ دوگان, φ-میانگین پذیری,

Abstract :

Let A be a dual Banach algebra, and let φ be a w^*-continuous homomorphism from A to C.In this paper we study the projectivity of C_φ as a A-bimodule as well as a WAP〖(A^*)〗^*-bimodule.Let A be a dual Banach algebra, and let φ be a w^*-continuous homomorphism from A to C.In this paper we study the projectivity of C_φ as a A-bimodule as well as a WAP〖(A^*)〗^*-bimodule.Let A be a dual Banach algebra, and let φ be a w^*-continuous homomorphism from A to C.In this paper we study the projectivity of C_φ as a A-bimodule as well as a WAP〖(A^*)〗^*-bimodule.Let A be a dual Banach algebra, and let φ be a w^*-continuous homomorphism from A to C.In this paper we study the projectivity of C_φ as a A-bimodule as well as a WAP〖(A^*)〗^*-bimodule.Let A be a dual Banach algebra, and let φ be a w^*-continuous homomorphism from A to C.In this paper we study the projectivity of C_φ as a A-bimodule as well as a WAP〖(A^*)〗^*-bimodule.

References:

[1] Johnson, B. E., (1972). Cohomology in Banach algebras. Mem. Amer. Soc. 127.

 

[2] Kaniuth, E., Lau, A. T., Pym, J., On  of Banach algebras, Math. Proc. Camb. Phil. Soc.

 

[3] Kaniuth, E., Lau, A. T., Pym, J., 2008. On character amenability of Banach algebras. J. Math. Anal., 344, 942 – 955.

 

[4] Monfared, M. S., 2008. Character amenability of Banach algebras. Math. Proc. Camb. Phil. Soc., 144, 697–706.

 

[5] Runde, V., 2001. Amenability for dual Banach algebras, Studia Math., 148, 47–66.

 

[6] Runde, V. (1774). Lectures on Amenability, Lecture Notes in Mathematics, Springer Verlage, Berlin, 2002

 

[7] Runde‎, V‎., 2004.‎ Dual Banach algebras‎:‎Connes- amenability‎, ‎normal‎,
‎virtual diagonals‎, ‎and injectivity of the predual bimodule. Math‎. ‎Scand‎. ‎95, ‎124–144‎.

 

[8] Daws, M., 2007. Dual Banach algebras: representations and injectivity. Studia Math., 178, 231–275.