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Non commutative geometry methods for group C{sup *}-algebras

Abstract

This book is intended to provide a quick introduction to the subject. The exposition is scheduled in the sequence, as possible for more understanding for beginners. The author exposed a K-theoretic approach to study group C{sup *}-algebras: started in the elementary part, with one example of description of the structure of C{sup *}-algebra of the group of affine transformations of the real straight line, continued then for some special classes of solvable and nilpotent Lie groups. In the second advanced part, he introduced the main tools of the theory. In particular, the conception of multidimensional geometric quantization and the index of group C{sup *}-algebras were created and developed. (author). Refs.
Authors:
Publication Date:
Sep 01, 1996
Product Type:
Technical Report
Report Number:
IC-96/197
Reference Number:
SCA: 661100; 662100; PA: AIX-28:022247; EDB-97:045466; NTS-97:008575; SN: 97001747829
Resource Relation:
Other Information: PBD: Sep 1996
Subject:
66 PHYSICS; CLIFFORD ALGEBRA; GROUP THEORY; IRREDUCIBLE REPRESENTATIONS; LIE GROUPS; QUANTIZATION; TOPOLOGICAL FOLIATION
OSTI ID:
440108
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE97616269; TRN: XA9743276022247
Availability:
INIS; OSTI as DE97616269
Submitting Site:
INIS
Size:
282 p.
Announcement Date:
Mar 14, 1997

Citation Formats

Diep, Do Ngoc. Non commutative geometry methods for group C{sup *}-algebras. IAEA: N. p., 1996. Web.
Diep, Do Ngoc. Non commutative geometry methods for group C{sup *}-algebras. IAEA.
Diep, Do Ngoc. 1996. "Non commutative geometry methods for group C{sup *}-algebras." IAEA.
@misc{etde_440108,
title = {Non commutative geometry methods for group C{sup *}-algebras}
author = {Diep, Do Ngoc}
abstractNote = {This book is intended to provide a quick introduction to the subject. The exposition is scheduled in the sequence, as possible for more understanding for beginners. The author exposed a K-theoretic approach to study group C{sup *}-algebras: started in the elementary part, with one example of description of the structure of C{sup *}-algebra of the group of affine transformations of the real straight line, continued then for some special classes of solvable and nilpotent Lie groups. In the second advanced part, he introduced the main tools of the theory. In particular, the conception of multidimensional geometric quantization and the index of group C{sup *}-algebras were created and developed. (author). Refs.}
place = {IAEA}
year = {1996}
month = {Sep}
}