A covering dimension for ð¶*-algebras

Takahiro Sudo

A covering dimension for ð¶*-algebras

Authors

Takahiro Sudo Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus, Senbaru 1, Nishihara, Okinawa 903-0213, Japan.

Keywords:

ð¶*-algebras, covering dimension, Primitive

Abstract

We introduce a notion of dimension for ð¶*-algebras that is a noncommutative version of the covering dimension for spaces, and study its basic properties and some properties for continuous field ð¶*-algebras, tensor products and composition series. As an application we estimate the dimension of the group ð¶*-algebras of some important solvable Lie groups.