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Introduction to the Algebraic Formulation of Quantum Theories

  • Valter Moretti
Part of the UNITEXT book series (UNITEXT)

Abstract

In the last chapter of the book we offer a short presentation of the algebraic formulation of quantum theories, and we will state and prove a central theorem about the so-called GNS construction. We will discuss how to treat the notion of quantum symmetry in this framework, by showing that an algebraic quantum symmetry can be implemented (anti)unitarily in GNS representations of states invariant under the symmetry.

Copyright information

© Springer-Verlag Italia 2013

Authors and Affiliations

  • Valter Moretti
    • 1
  1. 1.Department of MathematicsUniversity of TrentoItaly

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