crossed product वाक्य
उदाहरण वाक्य
मोबाइल
- Skew polynomial rings are closely related to crossed product algebras.
- There is also a construction in ring theory, the crossed product of rings.
- An analogous theory has also been developed for actions on C * algebras and their crossed products.
- A result by Doplicher, Haag and Roberts says that under some assumptions the crossed product can be recovered from the algebra of observables.
- The Bunce Deddens algebras in fact are crossed products of the Cantor sets with a natural action by the integers "'Z " '.
- Given a group action on a topological space, there is a corresponding crossed product which will in general be non-commutative even if the group is abelian.
- This kind of ring ( see crossed product for a related construction ) can play the role of the " space of orbits " of the group action, in cases where that space cannot be approached by conventional topological techniques for example in the work of Alain Connes ( cf . noncommutative geometry ).
- The crossed product of a von Neumann algebra by a group " G " acting on it is similar except that we have to be more careful about topologies, and need to construct a Hilbert space acted on by the crossed product . ( Note that the von Neumann algebra crossed product is usually larger than the algebraic crossed product discussed above; in fact it is some sort of completion of the algebraic crossed product .)
- The crossed product of a von Neumann algebra by a group " G " acting on it is similar except that we have to be more careful about topologies, and need to construct a Hilbert space acted on by the crossed product . ( Note that the von Neumann algebra crossed product is usually larger than the algebraic crossed product discussed above; in fact it is some sort of completion of the algebraic crossed product .)
- The crossed product of a von Neumann algebra by a group " G " acting on it is similar except that we have to be more careful about topologies, and need to construct a Hilbert space acted on by the crossed product . ( Note that the von Neumann algebra crossed product is usually larger than the algebraic crossed product discussed above; in fact it is some sort of completion of the algebraic crossed product .)
- The crossed product of a von Neumann algebra by a group " G " acting on it is similar except that we have to be more careful about topologies, and need to construct a Hilbert space acted on by the crossed product . ( Note that the von Neumann algebra crossed product is usually larger than the algebraic crossed product discussed above; in fact it is some sort of completion of the algebraic crossed product .)
- The crossed product of a von Neumann algebra by a group " G " acting on it is similar except that we have to be more careful about topologies, and need to construct a Hilbert space acted on by the crossed product . ( Note that the von Neumann algebra crossed product is usually larger than the algebraic crossed product discussed above; in fact it is some sort of completion of the algebraic crossed product .)
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