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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 2006 Volume 8, Number 2, Pages 33–38 (Mi vmj121)

This article is cited in 1 paper

On projective limits of real $C^{\ast}$-algebras and Jordan operator algebras

A. A. Katza, O. Friedmanb

a Department of Mathematics and Computer Science, John's University, Staten Island, NY, USA
b Department of Mathematical Sciences, University of South Africa, Pretoria, Republic of South Africa

Abstract: In the present paper a real and Jordan analogues of complex locally $C^{\ast}$-algebras are introduced. Their definitions and basic properties are discussed.

Key words: Haussdorf projective limits, $C^\ast$-algebras, real $C^\ast$-algebras, $JB$-algebras, locally $C^\ast$-algebras, real locally $C^\ast$-algebras, locally $JB$-algebras.

UDC: 517.98

MSC: Primary 46K10, 16E10; Secondary 46M10

Received: 11.10.2005

Language: English



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