On quantales that classify $C^\ast $-algebras

David Kruml; Pedro Resende

Displaying similar documents to “On quantales that classify $C^{*}$ -algebras”

Antisymmetry of subalgebras of C*-algebras

Wacław Szymański (1977)

Studia Mathematica

Similarity:

Representations of the direct product of matrix algebras

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...

A survey on representations of the unitary group U(∞)

Şerban Strǎtilǎ, Dan Voiculescu (1982)

Banach Center Publications

Similarity:

Reciprocity theorems in the theory of representations of groups and algebras

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;...

Characterization of strict C*-algebras

O. Aristov (1994)

Studia Mathematica

Similarity:

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.