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Characterizations of locally C*-algebras

Technical Report:

Abstract

We seek the generalization of the Gelfand-Naimark theorems for locally C*-algebras. Precisely, if A is a unital commutative locally C*-algebra, then it is shown that A is *-isomorphic (topologically and algebraically) to C({Delta}). Further, if A is any locally C*-algebra, then it is realized as a closed *-subalgebra of some L(H) up to a topological algebraic *-isomorphism. Also, a brief exposition of the Gelfand-Naimark-Segal construction is given and some of its consequences are discussed. (author). 16 refs.
Publication Date:
Aug 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/245
Reference Number:
SCA: 661300; PA: AIX-23:015354; SN: 92000647071
Resource Relation:
Other Information: PBD: Aug 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; TOPOLOGY; LOCALITY; MATHEMATICAL SPACE; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10113338
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92615234; TRN: XA9130255015354
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
10 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Mohammad, N, and Somasundaram, S. Characterizations of locally C*-algebras. IAEA: N. p., 1991. Web.
Mohammad, N, & Somasundaram, S. Characterizations of locally C*-algebras. IAEA.
Mohammad, N, and Somasundaram, S. 1991. "Characterizations of locally C*-algebras." IAEA.
@misc{etde_10113338,
title = {Characterizations of locally C*-algebras}
author = {Mohammad, N, and Somasundaram, S}
abstractNote = {We seek the generalization of the Gelfand-Naimark theorems for locally C*-algebras. Precisely, if A is a unital commutative locally C*-algebra, then it is shown that A is *-isomorphic (topologically and algebraically) to C({Delta}). Further, if A is any locally C*-algebra, then it is realized as a closed *-subalgebra of some L(H) up to a topological algebraic *-isomorphism. Also, a brief exposition of the Gelfand-Naimark-Segal construction is given and some of its consequences are discussed. (author). 16 refs.}
place = {IAEA}
year = {1991}
month = {Aug}
}