Covariant representations of the causal logic

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.

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Erratum: Plato's Causal Logic and the Third Man Argument

Noûs ◽

10.2307/2215200 ◽

1987 ◽

Vol 21 (3) ◽

Author(s):

Richard Sharvy

Keyword(s):

The Third ◽

Causal Logic

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An examination into the causal logic of rent generation: contrasting Porter's competitive strategy framework and the resource-based perspective

Strategic Management Journal ◽

10.1002/smj.174 ◽

2001 ◽

Vol 22 (10) ◽

pp. 907-934 ◽

Cited By ~ 500

Author(s):

Yiannis E. Spanos ◽

Spyros Lioukas

Keyword(s):

Competitive Strategy ◽

Causal Logic

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Discrete product systems with twisted units

Bulletin of the Australian Mathematical Society ◽

10.1017/s000497270001474x ◽

1995 ◽

Vol 52 (2) ◽

pp. 317-326 ◽

Cited By ~ 3

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.

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Crossed products of C-algebras by -endomorphisms

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics ◽

10.1017/s1446788700037113 ◽

1993 ◽

Vol 54 (2) ◽

pp. 204-212 ◽

Cited By ~ 43

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.

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