KFU. Card publication. Symmetries of C*-algebras and Jordan Morphisms

KAZAN
FEDERAL UNIVERSITY

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SYMMETRIES OF C*-ALGEBRAS AND JORDAN MORPHISMS

Form of presentation

International monographs

Year of publication

2022

Язык

английский

Authors, employees of KFU

Turilova Ekaterina Aleksandrovna, author

Other authors

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

Full metadata record

Field DC	Value	Language
dc.contributor.author	Turilova Ekaterina Aleksandrovna	ru_RU
dc.contributor.author	Hamhalter Jan	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	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.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=270697&p_lang=2	ru_RU
dc.description.abstract	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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject		ru_RU
dc.title	Symmetries of C*-algebras and Jordan Morphisms	ru_RU
dc.type	International monographs	ru_RU