2005Journal of Tongji UniversityRequires access

Simple C~*-Algebras with Tracial Stable Rank One

Xiaochun Fang

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Abstract

In this paper,we show that if A is a simple unital C~*-algebra with tracial stable rank one and SP property,then A has cancellation of projections.With this result we prove that if A is a simple unital C~*-algebra with tracial stable rank one and SP property,then trs(A)=1.

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In this paper,we show that if A is a simple unital C~*-algebra with tracial stable rank one and SP property,then A has cancellation of projections.With this result we prove that if A is a simple unital C~*-algebra with tracial stable rank one and SP property,then trs(A)=1.

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Available abstract

In this paper,we show that if A is a simple unital C~*-algebra with tracial stable rank one and SP property,then A has cancellation of projections.With this result we prove that if A is a simple unital C~*-algebra with tracial stable rank one and SP property,then trs(A)=1.

Key concepts: Unital, Rank (graph theory), Simple (philosophy), Mathematics, Property (philosophy), Pure mathematics, Combinatorics, Algebra over a field

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