2010Unpublished venueRequires access

Real Rank of C*-algebras of Type1

Takahiro Sudo

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Abstract

We estimate the real rank of a composition series of closed ideals of a C*-algebra such that its subquotients have continuous trace, which is equivalent to that the C*-algebra is of type I.

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What this paper is about

We estimate the real rank of a composition series of closed ideals of a C*-algebra such that its subquotients have continuous trace, which is equivalent to that the C*-algebra is of type I.

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Available abstract

We estimate the real rank of a composition series of closed ideals of a C*-algebra such that its subquotients have continuous trace, which is equivalent to that the C*-algebra is of type I.

Key concepts: Rank (graph theory), TRACE (psycholinguistics), Type (biology), Mathematics, Algebra over a field, Composition (language), Pure mathematics, Combinatorics

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