QUOTIENTS OF QUANTUM BORNOLOGICAL SPACES

Dosi A.

TAIWANESE JOURNAL OF MATHEMATICS, vol.15, no.3, pp.1287-1303, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.11650/twjm/1500406300
  • Journal Name: TAIWANESE JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1287-1303
  • Middle East Technical University Affiliated: No

Abstract

In the note we investigate the main duality properties of quantum (or local operator) spaces involving quantum homology. Namely, we prove that each finite complete homology admits precisely one quantization and each complete quantum space is a matrix homology quotient of a local trace class algebra.