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On (Co)homology of triangular Banach algebras

100%

Moslehian M.

Banach Center Publications

2005

tom 67

nr 1

271-276

Suppose that A and B are unital Banach algebras with units $1_{A}$ and $1_{B}$, respectively, M is a unital Banach A,B-module, $𝓣 = \begin{bmatrix} A & M \\ 0 & B\end{bmatrix}$ is the triangular Banach algebra, X is a unital 𝓣-bimodule, $X_{AA} = 1_{A}X1_{A}$, $X_{BB} = 1_{B}X1_{B}$, $X_{AB} = 1_{A}X1_{B}$ and $X_{BA} = 1_{B}X1_{A}$. Applying two nice long exact sequences related to A, B, 𝓣, X, $X_{AA}$, $X_{BB}$, $X_{AB}$ and $X_{BA}$ we establish some results on (co)homology of triangular Banach algebras.

A Morita equivalence for Hilbert C*-modules

63%

Joiţa M., Moslehian M.

Studia Mathematica

2012

tom 209

nr 1

11-19

We introduce a notion of Morita equivalence for Hilbert C*-modules in terms of the Morita equivalence of the algebras of compact operators on Hilbert C*-modules. We investigate the properties of the new Morita equivalence. We apply our results to study continuous actions of locally compact groups on full Hilbert C*-modules. We also present an extension of Green's theorem in the context of Hilbert C*-modules.

Ograniczanie wyników

1 Banach Center Publications

1 Studia Mathematica

2 Moslehian M.

1 Joiţa M.

1 2012

1 2005

Wyniki wyszukiwania

On (Co)homology of triangular Banach algebras

A Morita equivalence for Hilbert C*-modules