Leavitt path algebras and direct limits

Details Leavitt path algebras and direct limits Leavitt path algebras and direct limits

2007-12-16

arxiv.org/abs/0712.2554v1

Mathematics

Rings and Algebras

23 pages; amstex; 3 xypic figures

Scientific paper

An introduction to Leavitt path algebras of arbitrary directed graphs is presented, and direct limit techniques are developed, with which many results that had previously been proved for countable graphs can be extended to uncountable ones. Such results include characterizations of simplicity, characterizations of the exchange property, and cancellation conditions for the K-theoretic monoid of equivalence classes of idempotent matrices.

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