翻訳と辞書 Words near each other ・ Noncomala ・ Noncommissioned officer's creed ・ Noncommutative algebraic geometry ・ Noncommutative geometry ・ Noncommutative harmonic analysis ・ Noncommutative Jordan algebra ・ Noncommutative logic ・ Noncommutative measure and integration ・ Noncommutative projective geometry ・ Noncommutative quantum field theory ・ Noncommutative residue ・ Noncommutative ring ・ Noncommutative signal-flow graph ・ Noncommutative standard model ・ Noncommutative symmetric function ・ Noncommutative topology ・ Noncommutative torus ・ Noncommutative unique factorization domain ・ Noncompaction cardiomyopathy ・ Nonconcatenative morphology ・ Nonconforming use ・ Nonconformist ・ Nonconformist conscience ・ Nonconformist register ・ Nonconformist Relief Act 1779 ・ Nonconformity ・ Nonconformity (Nelson Algren book) ・ Nonconformity (quality) ・ Nonconformity in Wales ・ Nonconformity to the world Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Noncommutative topology ： ウィキペディア英語版 Noncommutative topology ''Noncommutative topology'' in mathematics is a term applied to the strictly C *-algebraic part of the noncommutative geometry program. The program has its origins in the Gel'fand duality between the topology of locally compact spaces and the algebraic structure of commutative C *-algebras. Several topological properties can be formulated as properties for the C *-algebras without making reference to commutativity or the underlying space, and so have an immediate generalization. Amongst these are compactness (being unital), dimension (real or stable rank), connectedness (projectionless algebra) and K-theory. So we think of a noncommutative C *-algebra as the algebra of functions on a 'noncommutative space' which does not exist classically. A major tool in the field is a bivariant version of K-theory called KK-theory. It has a composition product $KK(A,B)\backslash times\; KK(B,C)\backslash rightarrow\; KK(A,C)$ of which the ring structure in ordinary K-theory is a special case. The product gives the structure of a category to KK. It has been related to correspondences of algebraic varieties. == References == 〔 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Noncommutative topology」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.