**On the stratification of noncommutative prime spectra**

**Publication status:**
Proc. Amer. Math. Soc. (to appear).

arXiv: http://arxiv.org/abs/1206.0033

**Abstract:**
We study rational actions of an algebraic torus *G* by automorphisms
on an
associative algebra *R*. The *G*-action on *R* induces a
stratification of the
prime spectrum of *R* which was introduced by Goodearl and Letzter.
For a noetherian algebra *R*, Goodearl and Letzter showed that
the strata of the spectrum of *R* are isomorphic to the
spectra of certain
commutative Laurent polynomial algebras. The purpose of this note is
to give
a new proof of this result which works for arbitrary algebras *R*.

**Electronic preprint:**

133KB |