46L — 2 articles found.

A note on projection equivalence in von Neumann algebras

C. R. Math. Rep. Acad. Sci. Canada Vol. 31 (1) 2009, pp. 1–6
Vol.31 (1) 2009
Richard V. Kadison Details
(Received: 2008-03-09 )
(Received: 2008-03-09 )

Richard V. Kadison, Mathematics Department, University of Pennsylvania, Philadelphia, PA 19104-6395 U.S.A. and Mathematics Department, Louisiana State University, Baton Rouge, LA 70803 U.S.A.; email: kadison@math.upenn.edu

Abstract/Résumé:

A new structural result in the comparison theory of projections for von Neumann algebras is proved: two monotone-increasing nets of projections indexed by the same directed set have unions that are equivalent when pairs of projections with the same index are equivalent. The same is not true, in general, for intersections of monotone-decreasing nets of projections. Counterexamples are given indicating limitations on extensions, variants, and methods for proving that result.

Keywords: Murray-von Neumann equivalence, von Neumann algebra

AMS Subject Classification: 46L

PDF(click to download): A note on projection equivalence in von Neumann algebras

On co-amenability for groups and von Neumann algebras

C. R. Math. Rep. Acad. Sci. Canada Vol. 25 (3) 2003, pp. 82–87
Vol.25 (3) 2003
N. Monod / S. Popa Details
(Received: 2003-02-05 )
(Received: 2003-02-05 )

N. Monod / S. Popa

Abstract/Résumé:

No abstract available but the full text pdf may be downloaded at the title link below.

Keywords:

AMS Subject Classification: Means on groups; semigroups; etc.; amenable groups, Analysis on homogeneous spaces, 43A07, 43A85, 46L

PDF(click to download): On co-amenability for groups and von Neumann algebras