Active Lattices Determine Aw*-algebras

  title={Active Lattices Determine Aw*-algebras},
  author={Manuel L. Reyes},
We prove that AW*-algebras are determined by their projections, their symmetries, and the action of the latter on the former. We introduce active lattices, which are formed from these three ingredients. More generally, we prove that the category of AW*-algebras is equivalent to a full subcategory of active lattices. Crucial ingredients are an equivalence between the category of piecewise AW*-algebras and that of piecewise complete Boolean algebras, and a refinement of the piecewise algebra… CONTINUE READING

From This Paper

Topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 12 references

Baliga , A unitary as a product of symmetries

R. A.
Theory of operator algebras I , Encyclopaedia of Mathematical Sciences • 2002

A factor not antiisomorphic to itself

A. Connes
Exp . Math . • 1993

The Mackey – Gleason problem , Bull

J. D. M. Wright
J . Math . Pures Appl . • 1967

Dye , On the geometry of projections in certain operator algebras

A. H.
Proc . Amer . Math . Soc . • 1963

Isomorphisms of ordered structures of abelian C *subalgebras of C *algebras

J. Hamhalter
Ann . Math . • 1955

Kadison , Infinite unitary groups

V. R.
Trans . Amer . Math . Soc .

Similar Papers

Loading similar papers…