Notes on  A 풯‐algebras and extensions of  A 핋‐algebras by 풦 | Zendy

Yao Hongliang | Zendy; Fang Xiaochun | Zendy

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Notes on A 풯‐algebras and extensions of A 핋‐algebras by 풦

Author(s) -

Yao Hongliang,

Fang Xiaochun

Publication year - 2010

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdp124

Subject(s) - mathematics , cellular algebra , algebra over a field , division algebra , rank (graph theory) , filtered algebra , subalgebra , algebra representation , extension (predicate logic) , universal enveloping algebra , jordan algebra , zero (linguistics) , symmetric algebra , pure mathematics , invariant (physics) , combinatorics , computer science , linguistics , philosophy , programming language , mathematical physics

H. Lin and H. Su classified A ‐algebras of real rank zero. An A ‐algebra often becomes an extension of an A ‐algebra by an AF ‐algebra. In this paper, we define a new invariant pi( A ) of C*‐algebra A by partial isometries and give a necessary condition on which a C*‐algebra is an A ‐algebra. We demonstrate that there is an essential extension of an A ‐algebra with real rank zero by which is not an A ‐algebra.

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