Projective freeness of algebras of real symmetric functions

Details Projective freeness of algebras of real symmetric functions Projective freeness of algebras of real symmetric functions

2011-03-04

arxiv.org/abs/1103.0899v2

Mathematics

K-Theory and Homology

6 pages

Scientific paper

Let D^n be the closed unit polydisk in C^n. Consider the ring C_r of
complex-valued continuous functions on D^n that are real symmetric, that is,
f(z)=(f(z^*))^* for all z in D^n. It is shown that C_r is projective free, that
is, finitely generated projective modules over C_r are free. We also show that
several subalgebras of the real symmetric polydisc algebra are projective free.

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