Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
SYMMETRIES OF C*-ALGEBRAS AND JORDAN MORPHISMS
Form of presentationInternational monographs
Year of publication2022
Языканглийский
  • Turilova Ekaterina Aleksandrovna, author
  • Hamhalter Jan , author
  • Bibliographic description in the original language Turilova E. Symmetries of C*-algebras and Jordan Morphisms/ J. Hamhlter, E. Turilova// trends of Mahemtics. Operator nd Norm Inequlities nd Related Topics/ R.M. Aron, M.S. Moslehian, I.M. Spitkovsky, H.J. Woerdeman editors. - Birkhauser, 2022. - P. 673-708.
    Annotation They are many faces of C ∗-algebras whose symmetries encode important aspects of their structures. We show that in surprisingly different situations these symmetries are implemented by Jordan *-isomorphisms and lead to full Jordan invariants. In this respect we study the following structures: 1. One dimensional projections in a Hilbert space with transition probability and orthogonality relation (Wigner type theorems). 2. Projection lattices of von Neumann algebras and AW∗- algebras (Dye type theorems) 3. Abelian C∗-subalgebras with set theoretic inclusion (Bohrification program in quantum theory) 4. Measures on state spaces endowed with the Choquet order.
    Keywords C*-algebras ? Jordan *-morphisms
    URL https://doi.org/10.1007/978-3-031-02104-6
    Please use this ID to quote from or refer to the card https://repository.kpfu.ru/eng/?p_id=270697&p_lang=2

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