C-star-algebras by example Kenneth R. Davidson
Publisher: Amer Mathematical Society

In the context of operator algebras on a Hilbert space, the best studied examples are closed under taking adjoints and include bride named C-star-algebra/C* algebras and any pol von Neumann algebras. Actions are very important in noncommutative geometry, and are some of the main examples in Connes' school like group(oid) C * -algebras, crossed product operator algebras and the study of functions on orbifolds and foliations. Publisher: Amer Mathematical Society Page Count: 321. If an involution is given as well, we obtain B-star-algebras and C-star-algebras. Be a sub-star-algebra of the C-star algebra of bounded linear operators on a Hilbert space. These are studied in functional analysis. C*-algebras (pronounced “C-star”) are an important area of research in functional analysis, a branch of mathematics. The predual can be canonically identified with the Banach space of trace class operators. Asked by Val Anderson 2 months ago ReplyAbuse | Useful. The idea to characterize a (noncommutative) space by a C-star algebra. They also play an important role in equivariant noncommutative algebraic geometry; cf. However, Banach A standard example is L 1 ( ℝ , μ ) , where μ is Lebesgue measure, and where the multiplication is taken to be convolution. A question about positive elements in C star algerbas. (This lacks a unit for the Any C-star algebra is in particular a Banach algebra. An associative unital Banach algebra is monoid object in the closed monoidal category of Banach spaces (with short linear operators as morphisms, and the usual internal hom, or equivalently the projective tensor product). Closed in the ultraweak topology is again a von Neumann algebra. Compare the historic definitions of C * -algebras, as well as other examples of concrete and abstract structures such as manifolds. 206-Banach Algebra Techniques in Operator Theory-Douglas.pdf 8.94 MB 208-C-star-algebras by example-Davidson.djvu 2.85 MB 214-A Comprehensive Introduction to Differential Geometry 3e Vol. Language: English Released: 1996.