Ring isomorphisms of \(\ast \)-subalgebras of Murray-von Neumann factors
From MaRDI portal
Publication:2062066
DOI10.1134/S1995080221120064zbMath1490.46056arXiv2010.03176OpenAlexW3092010087MaRDI QIDQ2062066
Karimbergen K. Kudaybergenov, Shavkat A. Ayupov
Publication date: 22 December 2021
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.03176
von Neumann algebraring isomorphismsalgebra of measurable operatorsreal \(\ast \)-isomorphismreal algebra isomorphism
General theory of von Neumann algebras (46L10) Noncommutative measure and integration (46L51) Linear operators on Banach algebras (47B48) Associative rings and algebras with additional structure (16W99)
Related Items
Изоморфизм между алгеброй измеримых функций и ее подалгеброй асимптотически дифференцируемых функций
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Algebras of log-integrable functions and operators
- Ring isomorphisms of Murray-von Neumann algebras
- Homomorphisms of a class of rings and two-valued measures on Boolean algebras
- Notes on non-commutative integration
- On a class of unbounded operator algebras. II
- \(C^*\)-algebras and \(W^*\)-algebras.
- An upper triangular decomposition theorem for some unbounded operators affiliated to \(\mathrm{II}_{1}\)-factors
- Minimality of convergence in measure topologies on finite von Neumann algebras
- Infinite dimensional central simple regular algebras with outer derivations
- Non-commutative Arens algebras and their derivations
- On the algebra of measurable operators for a general \(AW^ *\)-algebra. II
- A non-commutative extension of abstract integration
- Derivations and automorphisms of locally matrix algebras
- A note on derivations of Murray–von Neumann algebras
- Automorphisms of central extensions of type I von Neumann algebras
- Lattice isomorphisms between projection lattices of von Neumann algebras
- Maximal Abelian Subalgebras in Finite Factors of Type II
- Tikhonov semifields and certain problems in general topology
- Continuous Rings and Their Arithmetics
- The space 𝐿^{𝜔} and convex topological rings
