Symmetries of C *-algebras and Jordan Morphisms

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F22%3A00363391" target="_blank" >RIV/68407700:21230/22:00363391 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-02104-6_20" target="_blank" >https://doi.org/10.1007/978-3-031-02104-6_20</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-02104-6_20" target="_blank" >10.1007/978-3-031-02104-6_20</a>

Result language
angličtina
Original language name
Symmetries of C *-algebras and Jordan Morphisms
Original language description
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.
Czech name
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Czech description
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Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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