Scattered C∗-algebras with almost finite spectrum
نویسندگان
چکیده
منابع مشابه
A 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 کاملResidually Finite Dimensional C*-algebras
A C*-algebra is called residually finite dimensional (RFD for brevity) if it has a separating family of finite dimensional representations. A C*-algebra A is said to be AF embeddable if there is an AF algebra B and a ∗-monomorphisms α : A→ B. In this note we discuss the question of AF embeddability of RFD algebras. Since a C*-subalgebra of a nuclear C*-algebra must be exact [Ki], the nonexact R...
متن کاملOn Algebras That Almost Have Finite Dimensional Representations
We introduce the notion of almost finite dimensional representability of algebras and study its connection with the classical finiteness conditions. AMS Subject Classifications: 16N80, 16P99
متن کاملInductive Limits of Subhomogeneous C∗-algebras with Hausdorff Spectrum
We consider unital simple inductive limits of generalized dimension drop C∗-algebras They are so-called ASH-algebras and include all unital simple AH-algebras and all dimension drop C∗-algebras. Suppose that A is one of these C∗-algebras. We show that A ⊗ Q has tracial rank no more than one, where Q is the rational UHF-algebra. As a consequence, we obtain the following classification result: Le...
متن کاملAlmost n-Multiplicative Maps between Frechet Algebras
For the Fr'{e}chet algebras $(A, (p_k))$ and $(B, (q_k))$ and $n in mathbb{N}$, $ngeq 2$, a linear map $T:A rightarrow B$ is called textit{almost $n$-multiplicative}, with respect to $(p_k)$ and $(q_k)$, if there exists $varepsilongeq 0$ such that$$q_k(Ta_1a_2cdots a_n-Ta_1Ta_2cdots Ta_n)leq varepsilon p_k(a_1) p_k(a_2)cdots p_k(a_n),$$for each $kin mathbb{N}$ and $a_1, a_2, ldots, a_nin A$. Th...
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: Journal of Functional Analysis
سال: 1983
ISSN: 0022-1236
DOI: 10.1016/0022-1236(83)90063-0