A Rokhlin type theorem for simple C⁎-algebras of finite nuclear dimension
نویسندگان
چکیده
منابع مشابه
The Rokhlin Property for Automorphisms on Simple C-algebras
We study a general Kishimoto’s problem for automorphisms on simple C∗-algebras with tracial rank zero. Let A be a unital separable simple C∗-algebra with tracial rank zero and let α be an automorphism. Under the assumption that α has certain Rokhlin property, we present a proof that A ⋊α Z has tracial rank zero. We also show that if the induced map α∗0 on K0(A) fixes a “dense” subgroup of K0(A)...
متن کاملFinitely Generated Nilpotent Group C*-algebras Have Finite Nuclear Dimension
We show that group C*-algebras of finitely generated, nilpotent groups have finite nuclear dimension. It then follows, from a string of deep results, that the C*-algebra A generated by an irreducible representation of such a group has decomposition rank at most 3. If, in addition, A satisfies the universal coefficient theorem, another string of deep results shows it is classifiable by its Ellio...
متن کاملCovering Dimension for Nuclear C * -algebras
We introduce the completely positive rank, a notion of covering dimension for nuclear C *-algebras and analyze some of its properties. The completely positive rank behaves nicely with respect to direct sums, quotients, ideals and inductive limits. For abelian C *-algebras it coincides with covering dimension of the spectrum and there are similar results for continuous trace algebras. As it turn...
متن کاملCovering Dimension for Nuclear C∗-algebras Ii
The completely positive rank is an analogue of the topological covering dimension, defined for nuclear C∗-algebras via completely positive approximations. These may be thought of as simplicial approximations of the algebra, which leads to the concept of piecewise homogeneous maps and a notion of noncommutative simplicial complexes. We introduce a technical variation of completely positive rank ...
متن کاملBounds for the dimension of the $c$-nilpotent multiplier of a pair of Lie algebras
In this paper, we study the Neumann boundary value problem of a class of nonlinear divergence type diffusion equations. By a priori estimates, difference and variation techniques, we establish the existence and uniqueness of weak solutions of this problem.
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: 2016
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2016.01.014