- Title
- A gauge invariant uniqueness theorem for corners of higher rank graph algebras
- Creator
- Allen, Stephen
- Relation
- Rocky Mountain Journal of Mathematics Vol. 38, Issue 6, p. 1887-1907
- Publisher Link
- http://dx.doi.org/10.1216/rmj-2008-38-6-1887
- Publisher
- Rocky Mountain Mathematics Consortium
- Resource Type
- journal article
- Date
- 2008
- Description
- For a finitely aligned k-graph Λ with X a set of vertices in Λ, we define a universal C*-algebra called C* (Λ, X) generated by partial isometries. We show that C* (Λ, X) is isomorphic to the corner PXC*(Λ) PX, where PX is the sum of vertex projections in X. We then prove a version of the Gauge Invariant Uniqueness theorem for C*(Λ, X) and then use the theorem to prove various results involving fullness, simplicity and Morita equivalence as well as results relating to application in symbolic dynamics.
- Subject
- C*-algebras; Cuntz-Krieger algebras; infinite graphs; directed graphs; k-theory; equivalence
- Identifier
- http://hdl.handle.net/1959.13/39767
- Identifier
- uon:4492
- Identifier
- ISSN:0035-7596
- Language
- eng
- Full Text
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