crossed product sentence in Hindi

Examples

1. 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 .)
2. 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 .)