scholarly journals Generating Wandering Subspaces for Doubly Commuting Covariant Representations

2019 ◽  
Vol 91 (4) ◽  
Author(s):  
Harsh Trivedi ◽  
Shankar Veerabathiran
Keyword(s):  
Covariant Representations

scholarly journals COVARIANT REPRESENTATIONS OF THE DE SITTER ISOMETRY GROUP

2013 ◽  
Vol 28 (09) ◽  
pp. 1350033 ◽  
Author(s):  
ION I. COTĂESCU
Keyword(s):  
General Theory ◽  
Isometry Group ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Induced Representations ◽  
Covariant Representations ◽  
Sitter Spacetime ◽  
Technical Details ◽  
First Time

We show that the induced representations of the de Sitter isometry group proposed many years ago by Nachtmann are equivalent to those derived from our general theory of external symmetry. These methods complete each other leading to a coherent theory of covariant fields with spin on the de Sitter spacetime. Some technical details of these representations are presented here for the first time.

scholarly journals Discrete product systems with twisted units

1995 ◽  
Vol 52 (2) ◽  
pp. 317-326 ◽  
Author(s):  
Marcelo Laca
Keyword(s):  
Dynamical System ◽  
Crossed Product ◽  
Type I ◽  
Crossed Products ◽  
Product System ◽  
C Algebra ◽  
Covariant Representations ◽  
Product Systems ◽  
Recent Theorem ◽  
I Factor

The spectral C*-algebra of the discrete product systems of H.T. Dinh is shown to be a twisted semigroup crossed product whenever the product system has a twisted unit. The covariant representations of the corresponding dynamical system are always faithful, implying the simplicity of these crossed products; an application of a recent theorem of G.J. Murphy gives their nuclearity. Furthermore, a semigroup of endomorphisms of B(H) having an intertwining projective semigroup of isometries can be extended to a group of automorphisms of a larger Type I factor.

scholarly journals Crossed products of C*-algebras by *-endomorphisms

1993 ◽  
Vol 54 (2) ◽  
pp. 204-212 ◽  
Author(s):  
P. J. Stacey
Keyword(s):  
Universal Property ◽  
Crossed Products ◽  
C Algebras ◽  
Covariant Representations

AbstractCrossed products of C*-algebras by *-endomorphisms are defined in terms of a universal property for covariant representations implemented by families of isometries and some elementary properties of covariant representations and crossed products are obtained.

scholarly journals Automorphism covariant representations of the holonomy-flux lowast-algebra

2005 ◽  
Vol 22 (4) ◽  
pp. 657-679 ◽  
Author(s):  
Andrzej Okołów ◽  
Jerzy Lewandowski
Keyword(s):  
Covariant Representations

scholarly journals Dilating covariant representations of the non-commutative disc algebras

2010 ◽  
Vol 259 (4) ◽  
pp. 817-831 ◽  
Author(s):  
Kenneth R. Davidson ◽  
Elias G. Katsoulis
Keyword(s):  
Covariant Representations

scholarly journals PROJECTIVE COVARIANT REPRESENTATIONS OF LOCALLY $C^*$-DYNAMICAL SYSTEMS

2013 ◽  
Vol 17 (2) ◽  
pp. 529-544 ◽  
Author(s):  
Jaeseong Heo ◽  
Un Cig Ji ◽  
Young Yi Kim
Keyword(s):  
Dynamical Systems ◽  
Covariant Representations

scholarly journals Canonical quantization of the covariant fields on de Sitter space–times

2018 ◽  
Vol 33 (08) ◽  
pp. 1830007 ◽  
Author(s):  
Ion I. Cotaescu
Keyword(s):  
Isometry Group ◽  
Canonical Quantization ◽  
Principal Series ◽  
De Sitter Space ◽  
Fermion Mass ◽  
Dirac Field ◽  
De Sitter ◽  
Covariant Quantum ◽  
Covariant Representations ◽  
Casimir Operators

The properties of the covariant quantum fields on de Sitter space–times are investigated focusing on the isometry generators and Casimir operators in order to establish the equivalence among the covariant representations and the unitary irreducible ones of the de Sitter isometry group. For the Dirac quantum field, it is shown that the spinor covariant representation, transforming the Dirac field under de Sitter isometries, is equivalent with a direct sum of two unitary irreducible representations of the [Formula: see text] group, transforming alike the particle and antiparticle field operators in momentum representation. Their basis generators and Casimir operators are written down finding that the covariant representations are equivalent with unitary irreducible ones from the principal series whose canonical weights are determined by the fermion mass and spin.

Covariant representations for possibly singular actions on $C^*$-algebras

2020 ◽  
Vol 549 ◽  
pp. 1-94
Author(s):  
Daniel Beltiţă ◽  
Hendrik Grundling ◽  
Karl-Hermann Neeb
Keyword(s):  
C Algebras ◽  
Covariant Representations
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