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Representations of the direct product of matrix algebras

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Guido D., Tuset L.

Fundamenta Mathematicae

2001

tom 169

nr 2

145-160

Suppose B is a unital algebra which is an algebraic product of full matrix algebras over an index set X. A bijection is set up between the equivalence classes of irreducible representations of B as operators on a Banach space and the σ-complete ultrafilters on X (Theorem 2.6). Therefore, if X has less than measurable cardinality (e.g. accessible), the equivalence classes of the irreducible representations of B are labeled by points of X, and all representations of B are described (Theorem 3.3).

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1 Fundamenta Mathematicae

1 Guido D.

1 Tuset L.

1 2001

Wyniki wyszukiwania

Representations of the direct product of matrix algebras