K-theory of azumaya algebras

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Abstract

Quillen has defined a K-theory for symmetric monoidal categories. We show that Quillen’s groups agree with the groups Kx, and K2 defined by Bass. Finally, we compute the K-theory of the Azumaya algebras over a commutative ring.

Original languageEnglish (US)
Pages (from-to)1-7
Number of pages7
JournalProceedings of the American Mathematical Society
Volume81
Issue number1
DOIs
StatePublished - Jan 1 1981

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Keywords

  • Algebraic K-theory
  • Azumaya algebra
  • Infinite loop space
  • Symmetric monoidal category

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