Operators preserving ideals in C*-algebras
نویسندگان
چکیده
منابع مشابه
Frames in right ideals of $C^*$-algebras
we investigate the problem of the existence of a frame forright ideals of a C*-algebra A, without the use of the Kasparov stabilizationtheorem. We show that this property can not characterize A as a C*-algebraof compact operators.
متن کاملframes in right ideals of $c^*$-algebras
we investigate the problem of the existence of a frame forright ideals of a c*-algebra a, without the use of the kasparov stabilizationtheorem. we show that this property can not characterize a as a c*-algebraof compact operators.
متن کاملCompressing Coefficients While Preserving Ideals in <Emphasis Type="Italic">K</Emphasis>-Theory for C*-Algebras
An invariant based on ordered K-theory with coefficients in Z ⊕⊕n>1 Z/n and an infinite number of natural transformations has proved to be necessary and sufficient to classify a large class of nonsimple C∗-algebras. In this paper, we expose and explain the relations between the order structure and the ideals of the C∗-algebras in question. As an application, we give a new complete invariant for...
متن کاملA Note on Spectrum Preserving Additive Maps on C*-Algebras
Mathieu and Ruddy proved that if be a unital spectral isometry from a unital C*-algebra Aonto a unital type I C*-algebra B whose primitive ideal space is Hausdorff and totallydisconnected, then is Jordan isomorphism. The aim of this note is to show that if be asurjective spectrum preserving additive map, then is a Jordan isomorphism without the extraassumption totally disconnected.
متن کاملOn Preserving Properties of Linear Maps on $C^{*}$-algebras
Let $A$ and $B$ be two unital $C^{*}$-algebras and $varphi:A rightarrow B$ be a linear map. In this paper, we investigate the structure of linear maps between two $C^{*}$-algebras that preserve a certain property or relation. In particular, we show that if $varphi$ is unital, $B$ is commutative and $V(varphi(a)^{*}varphi(b))subseteq V(a^{*}b)$ for all $a,bin A$, then $varphi$ is a $*$-homomorph...
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: Studia Mathematica
سال: 1994
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-109-1-67-72