Cartan MASAs in von Neumann Algebras are Norming and a New Proof of Mercer's Theorem

Details Cartan MASAs in von Neumann Algebras are Norming and a New Proof of Mercer's Theorem Cartan MASAs in von Neumann Algebras are Norming and a New Proof of Mercer's Theorem

2012-02-28

arxiv.org/abs/1202.6408v1

Mathematics

Operator Algebras

6 pages

Scientific paper

In this note we observe that a result of Sinclair and Smith together with the
Feldman-Moore description of a von Neumann algebra with a Cartan MASA shows
that Cartan MASAs are norming. We also use the outline in Remark 2.17 of [D. R.
Pitts, Proc. Amer. Math. Soc., 2008] to give a new proof of Mercer's Theorem
[R. Mercer, J. Funct. Anal., 1991, Corollary 4.3].

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