Additivity of *-Semigroup Isomorphisms among *-Algebras

DOI10.1112/blms/18.1.51zbMath0557.46037OpenAlexW2071349445MaRDI QIDQ3222723

Jôsuke Hakeda

Publication date: 1986

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/18.1.51

zbMATH Keywords

central projectionAW*-algebras*-semigroup isomorphismmultiplicative structure uniquely determines the real algebraic structure

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05)

Related Items (9)

Maps preserving product \(A^\ast B + B^\ast A\) on \(C^\ast\)-algebras ⋮ Maps on matrix spaces ⋮ Multiplicative Jordan triple isomorphisms on the self-adjoint elements of von Neumann algebras ⋮ Additivity of quadratic maps ⋮ Additivity of maps preserving Jordan triple products on prime \(C^*\)-algebras ⋮ Maps preserving product \(A^* B + BA^*\) on \(C^*\)-algebras ⋮ \(\ast\)-Jordan semi-triple derivable mappings ⋮ Preservers of \(\lambda\)-Aluthge transforms ⋮ Linear rank and corank preserving maps on \({\mathcal B}(H)\) and an application to \(^*\)-semigroup isomorphisms of operator ideals

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