Speaker
Ekaterina Turilova
(Kazan Federal university)
Description
There 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: one dimensional projections in a Hilbert space with transition probability and orthogonality relation (Wigner type theorems); projection lattices of von Neumann algebras and $AW^*$-algebras (Dye type theorems); abelian $C^*$-subalgebras with set theoretic inclusion (Bohrification program in quantum theory).
Primary author
Ekaterina Turilova
(Kazan Federal university)
