### Representations into the hyperspace of a compact group.

A.Y.W. Lau, R.G. Bilyeu (1976/77)

Semigroup forum

Similarity:

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

A.Y.W. Lau, R.G. Bilyeu (1976/77)

Semigroup forum

Similarity:

Daniele Guido, Lars Tuset (2001)

Fundamenta Mathematicae

Similarity:

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...

Bertram Huppert (1989)

Forum mathematicum

Similarity:

D. Blasius, G. Anderson, G. Zettler (1994)

Forum mathematicum

Similarity:

Robert P. Boyer (2003)

Studia Mathematica

Similarity:

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...

Antoni Wawrzyńczyk

Similarity:

ContentsIntroduction .............................................................................................................................................................................. 51. Regular representations of algebras with approximate unit. A duality theorem..................................................... 92. Induced representations of algebras. The main duality............................................................................................. 203. Specialization;...

Etienne Frochaux (1997)

Forum mathematicum

Similarity:

Teicher, Mina (1997)

Beiträge zur Algebra und Geometrie

Similarity:

Michael Cowling, Gero Fendler (1984)

Mathematische Annalen

Similarity:

Jaroslav Drahoš (1972)

Czechoslovak Mathematical Journal

Similarity:

Matthew Daws (2007)

Studia Mathematica

Similarity:

We study representations of Banach algebras on reflexive Banach spaces. Algebras which admit such representations which are bounded below seem to be a good generalisation of Arens regular Banach algebras; this class includes dual Banach algebras as defined by Runde, but also all group algebras, and all discrete (weakly cancellative) semigroup algebras. Such algebras also behave in a similar way to C*- and W*-algebras; we show that interpolation space techniques can be used in place of...

Groza, Valentyna A. (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

Łukasz Garncarek (2014)

Colloquium Mathematicae

Similarity:

We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.