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We review the recent construction of semifinite spectral triples for graph C^*-algebras.
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J. Kustermans, G. Murphy, L. Tuset, Differential Calculi over Quantum Groups and Twisted Cyclic Cocycles
2003
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A. Carey, S. Neshveyev, R. Nest, A. Rennie, Twisted Cyclic Theory, Equivariant K K KK -Theory and KMS States
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A. Carey, J. Phillips, A. Rennie, APS Boundary Conditions, K K KK -Theory and Spectral Flow in Graph C ∗ C^{*} -Algebras
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A. Carey, J. Phillips, A. Rennie, Twisted Cyclic Theory and the Modular Index Theory of Cuntz Algebras
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A. Carey, A. Rennie, K. Tong, Modular Index Theory for S U q ( 2 ) SU_{q}(2)
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A. Carey, J. Phillips, A. Rennie, F. Sukochev The local index formula in semifinite von Neumann algebras II: the even case
2006
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D. Pask, A. Rennie, The Noncommutative Geometry of Graph C ∗ C^{*} -Algebras I: The Index Theorem
2006
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