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Projective freeness of algebras of real symmetric functions

Authors
  • Sasane, Amol
Type
Preprint
Publication Date
Mar 11, 2013
Submission Date
Mar 04, 2011
Source
arXiv
License
Yellow
External links

Abstract

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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