Representations of the direct product of matrix algebras

Daniele Guido; Lars Tuset

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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;...

Characterization of strict C*-algebras

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.

Commutativity of the Schur algebra.

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Degenerate series representations of the $q$ -deformed algebra ${so}_{q}^{'} (r, s)$ .

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Construction of the fourfold cover of the Mathieu group $M_{22}$ .

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Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms

Łukasz Garncarek (2014)

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Jun Tomiyama, Shinzo Kawamura (1985)

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Factor representations of diffeomorphism groups

Robert P. Boyer (2003)

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We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in...

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