Modular theory and Eyvind Wichmann's contributions to modern particle physics theory.
Schroer, Bert (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Modular theory, non-commutative geometry and quantum gravity.”
Modular theory and Eyvind Wichmann's contributions to modern particle physics theory.
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We introduce the notion of a completely quantum C*-system (A,G,α), i.e. a C*-algebra A with an action α of a compact quantum group G. Spectral properties of completely quantum systems are investigated. In particular, it is shown that G-finite elements form the dense *-subalgebra of A. Furthermore, properties of ergodic systems are studied. We prove that there exists a unique α-invariant state ω on A. Its properties are described by a family of modular operators acting on . It turns...
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The model of generalized quons is described in an algebraic way as certain quasiparticle states with statistics determined by a commutation factor on an abelian group. Quantization is described in terms of quantum Weyl algebras. The corresponding commutation relations and scalar product are also given.
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