The number of representations of a group induced from the irreducible representations of a normal subgroup.
G. Karpilowsky (1978)
Mathematica Scandinavica
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G. Karpilowsky (1978)
Mathematica Scandinavica
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Alan Hopenwasser (1972)
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Daniele Guido, Lars Tuset (2001)
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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...
D. Leites, V. Serganova (1991)
Mathematica Scandinavica
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Heping Liu, Lizhong Peng (1993)
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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;...
Jan Myrheim (1975)
Mathematica Scandinavica
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Suleiman, Ibrahim A.I., Wilson, Robert A. (1993)
Experimental Mathematics
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Magnus B. Landstad (1980)
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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.
C.T. Ng (1977)
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Karl Karlander (1994)
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Per Holm, Erik M. Alfsen (1962)
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Iorgov, N.Z., Klimyk, A.U. (2005)
International Journal of Mathematics and Mathematical Sciences
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