Representations of the direct product of matrix algebras

• Autorzy: Daniele Guido , Lars Tuset
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 03E55: Large cardinals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2001
• Tom: 169
• Numer: 2
• Strony: 145-160

Daty

wydano

2001

Twórcy

autor

Daniele Guido

• Dipartimento di Matematica, Università di Roma "Tor Vergata", I-00133 Roma, Italy
• Dipartimento di Matematica, Università della Basilicata, Contrada Macchia Romana, I-85100 Potenza, Italy

autor

Lars Tuset

• Dipartimento di Matematica, Università di Roma "Tor Vergata", I-00133 Roma, Italy
• Faculty of Engineering, Oslo University College, Cort Adelers Gate 30, 0254 Oslo, Norway

Identyfikatory

DOI

10.4064/fm169-2-4