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A note on idempotents in finite AW*-factors
Authors:Gabriel Nagy
Institution:Department of Mathematics, Kansas State University, Manhattan, Kansas 66506
Abstract:We prove that the value of the quasi-trace on an idempotent element in an AW*-factor of type $\text{II}_1$ is the same as the dimension of its left (or right) support.

Keywords:AW*-algebra  quasi-trace  idempotent  projection  dimension function
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