منابع مشابه
Bounded Archimedean `-algebras and Gelfand-neumark-stone Duality
By Gelfand-Neumark duality, the category C∗Alg of commutative C∗algebras is dually equivalent to the category of compact Hausdorff spaces, which by Stone duality, is also dually equivalent to the category uba` of uniformly complete bounded Archimedean `-algebras. Consequently, C∗Alg is equivalent to uba`, and this equivalence can be described through complexification. In this article we study u...
متن کاملA globalisation of the Gelfand duality theorem
In this paper, we establish that Gelfand duality holds between the category of commutative C*-algebras and the category of compact, completely regular locales in any Grothendieck topos. It should be remarked immediately that this result represents the final step in a chain of preliminary papers that have appeared over a period of time. Indeed, the work contained in these papers was originally p...
متن کاملHilbert Series and Gelfand Duality
Another example of such a duality are the formulas of Gelfand-Tsetlin for matrix elements of irreducible representations of the algebra of complex matrices with trace 0 and the formulas for coordinates in the group of unitary matrices... In all of these cases the duality consists in the fact that functions of discrete arguments satisfy finite difference equations analogous to differential equat...
متن کاملConstructive Gelfand Duality for C*-algebras
We present a constructive proof of Gelfand duality for C*-algebras by reducing the problem to Gelfand duality for real C*-algebras.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1979
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1979-0521691-4