A conclusion is drawn that the K0 groups of simple C*C*-algebras which possess tracial-NG properties have NG properties.
研究C*-代數(shù)K0群的弱無(wú)孔性質(zhì)、Riesz內(nèi)插值性質(zhì),把這2種性質(zhì)統(tǒng)稱(chēng)為NG性質(zhì);并且引入具有跡-NG性質(zhì)的C*-代數(shù)概念。
One *-isomorphism of C*C*-algebras must be (completely) isometric map, but the inverse is not.
C*-代數(shù)的*-同構(gòu)一定是(完全)等距映射,反之不然。
The paper also presents the answer to the lifting problems of the projections of the corresponding quotient C*C*-algebras.
利用C*-代數(shù)I具有由投影組成的近似單位元的條件,給出了一類(lèi)M(I)中以I作為理想的C*-子代數(shù),證明每一個(gè)這樣C*-子代數(shù)的任何元素,均為弱擬對(duì)角化以及這些C*-子代數(shù)之間的關(guān)系,同時(shí)回答了相應(yīng)商代數(shù)投影的提升問(wèn)題。
An introduction to the definition of the simple tracial limit of C~*-algebra is first made in this paper.
引進(jìn)了簡(jiǎn)單跡極限的相關(guān)概念,簡(jiǎn)單介紹了與C*代數(shù)SP性質(zhì)密切相關(guān)的F性質(zhì),并且得到了非基本的單的具有SP性質(zhì)的C*代數(shù)具有F性質(zhì)。
In this paper,we show that if A is a simple unital C~*-algebra with tracial stable rank one and SP property,then A has cancellation of projections.
證明了如果A是單的有單位元的C*-代數(shù)滿(mǎn)足Tsr(A)=1,并且具有SP性質(zhì)(對(duì)于A的任意非零可傳C-子代數(shù)B,B都包含一個(gè)非零的投影),則A具有投影的消去律。
This paper studies the properties of a matrix-trace on C~*-algebra M_n(A) which is a positive linear mapping τ∶M_n(A)→A such that τ(u~*au)=τ(a)(a∈(M_n(A),)u∈U(M_n(A))) and τ(a~2)≤(τ(a))~2(a≥0), and obtains some inequalities.
C*-代數(shù)Mn(A)上矩陣跡是一個(gè)正線性映射τ∶Mn(A)→A且滿(mǎn)足τ(u*au)=τ(a)(a∈Mn(A),u∈U(Mn(A)))及τ(a2)≤(τ(a))2(a≥0)。
The α-Power Geometric Mean and Generalized Spectral Geometric Mean of Two Positive Definite Elements in a C~*-algebra;
引入并研究了C*-代數(shù)中兩個(gè)正定元a與b的α-冪幾何平均gα(a,b)與廣義譜幾何平均Eα(a,b),且由此證明了一系列相關(guān)的性質(zhì)和定理。
Haar Measures on C~*-bialgebras;
C雙代數(shù)上的Haar測(cè)度