The algebra of almost periodic functions has infinite topological stable rank

نویسندگان

چکیده

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

The bass and topological stable ranks for algebras of almost periodic functions on the real line

Let Λ be a sub-semigroup of the reals. We show that the Bass and topological stable ranks of the algebras APΛ = {f ∈ AP : σ(f) ⊆ Λ} of almost periodic functions on the real line and with Bohr spectrum in Λ are infinite whenever the algebraic dimension of the Q-vector space generated by Λ is infinite. This extends Suárez’s result for APR = AP. Also considered are general subalgebras of AP. Intro...

متن کامل

Almost periodic functions, constructively

Almost periodic functions form a natural example of a non-separable normed space. As such, it has been a challenge for constructive mathematicians to find a natural treatment of them. Here we present a simple proof of Bohr’s fundamental theorem for almost periodic functions which we then generalize to almost periodic functions on general topological groups.

متن کامل

Stable Algebraic Topology and Stable Topological Algebra

Algebraic topology is a young subject, and its foundations are not yet firmly in place. I shall give some history, examples, and modern developments in that part of the subject called stable algebraic topology, or stable homotopy theory. This is by far the most calculationally accessible part of algebraic topology, although it is also the least intuitively grounded in visualizable geometric obj...

متن کامل

The Bass and Topological Stable Ranks of the Bohl Algebra Are Infinite

The Bohl algebra B is the ring of linear combinations of functions te on the real line, where k is any nonnegative integer, and λ is any complex number, with pointwise operations. We show that the Bass stable rank and the topological stable rank of B (where we use the topology of uniform convergence) are infinite.

متن کامل

Crossed Product Decompositions of a Purely Infinite Von Neumann Algebra with Faithful, Almost Periodic Weight

For M a separable, purely infinite von Neumann algebra with almost periodic weight φ, a decomposition of M as a crossed product of a semifinite von Neumann algebra by a trace–scaling action of a countable abelian group is given. Then Takasaki’s continuous decomposition of the same algebra is related to the above discrete decomposition via Takesaki’s notion of induced action, but here one induce...

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: Proceedings of the American Mathematical Society

سال: 1996

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-96-03200-5