On Kuiper type theorems for uniform Roe algebras

نویسندگان

چکیده

Generalizing the case of an infinite discrete metric space finite diameter, we say that a (X,d) is Kuiper space, if group invertible elements its uniform Roe algebra norm-contractible. Various sufficient conditions on to be or not are obtained.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Arrow type impossibility theorems over median algebras

We characterize trees as median algebras and semilattices by relaxing conservativeness. Moreover, we describe median homomorphisms between products of median algebras and show that Arrow type impossibility theorems for mappings from a product A1 ˆ ̈ ̈ ̈ ˆ An of median algebras to a median algebra B are possible if and only if B is a tree, when thought of as an ordered structure.

متن کامل

Uniform Algebras on Curves

The proofs use the notion of analytic structure in a maximal ideal space. J. Wermer first obtained results along these lines and further contributions were made by E. Bishop and H. Royden and then by G. Stolzenberg [5] who proved STOLZENBERG'S THEOREM. Let XQC be a polynomially convex set. Let KQC be a finite union of Q-curves. Then (XKJK)*—X\JK is a {possibly empty) pure 1-dimensional analytic...

متن کامل

Hankel-Type Operators, Bourgain Algebras, and Uniform Algebras

Let H∞(D) denote the algebra of bounded analytic functions on the open unit disc in the complex plane. For a function g ∈ L∞(D), the Hankel-type operator Sg is defined by Sg(f) = gf +H∞(D). We give here an overview of the study of the symbol of the Hankel-type operator, with emphasis on those symbols for which the operator is compact, weakly compact, or completely continuous. We conclude with a...

متن کامل

On the Invariant Uniform Roe Algebra as Crossed Product

The uniform Roe C U G . The reduced C algebra C G is naturally contained in CU G . We show that the elements of l∞ which are invariant under are of the form l∞ . Finally we show that if and are bounded geometry discrete metric spaces, then

متن کامل

On statistical type convergence in uniform spaces

The concept of ${mathscr{F}}_{st}$-fundamentality is introduced in uniform spaces, generated by some filter ${mathscr{F}}$. Its equivalence to the concept of ${mathscr{F}}$-convergence in uniform spaces is proved. This convergence generalizes many kinds of convergence, including the well-known statistical convergence.

متن کامل

ذخیره 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: Linear Algebra and its Applications

سال: 2021

ISSN: ['1873-1856', '0024-3795']

DOI: https://doi.org/10.1016/j.laa.2020.09.030