Antisymmetry of subalgebras of C*-algebras
Wacław Szymański (1977)
Studia Mathematica
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Wacław Szymański (1977)
Studia Mathematica
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Daniele Guido, Lars Tuset (2001)
Fundamenta Mathematicae
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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...
Şerban Strǎtilǎ, Dan Voiculescu (1982)
Banach Center Publications
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Antoni Wawrzyńczyk
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ContentsIntroduction .............................................................................................................................................................................. 51. Regular representations of algebras with approximate unit. A duality theorem..................................................... 92. Induced representations of algebras. The main duality............................................................................................. 203. Specialization;...
O. Aristov (1994)
Studia Mathematica
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A Banach algebra A is called strict if the product morphism is continuous with respect to the weak norm in A ⊗ A. The following result is proved: A C*-algebra is strict if and only if all its irreducible representations are finite-dimensional and their dimensions are bounded.
Vlastimil Dlab (1974-1975)
Séminaire Dubreil. Algèbre et théorie des nombres
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Iorgov, N.Z., Klimyk, A.U. (2005)
International Journal of Mathematics and Mathematical Sciences
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Vyjayanthi Chari, Andrew Pressley (1988)
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Paul J.jun. Sally, Marko Tadic (1993)
Mémoires de la Société Mathématique de France
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Nikitin, P.P. (2005)
Zapiski Nauchnykh Seminarov POMI
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Jun Tomiyama, Shinzo Kawamura (1985)
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Teicher, Mina (1997)
Beiträge zur Algebra und Geometrie
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