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20122025
most citedUniversal twist in Equivariant K-theory for proper and discrete actions

23 citations · 52 across the 14 of their papers we have counts for

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math.KT2015★ 1 cited

Twisted Geometric K-homology for Proper actions of discrete groups

Noe Barcenas

We define twisted equivariant K-homology groups using geometric cycles. We compare them with approaches using Kasparov KK-Theory and (twisted) group C*-algebras.

math.KT2014★ 1 cited

The Completion Theorem in twisted equivariant -Theory for proper and discrete actions

Noe Barcenas, Mario Velasquez

We compare different algebraic structures in twisted equivariant K-Theory for proper actions of discrete groups. After the construction of a module structure over untwisted equivar…

math.KT2013

Equivariant K-Theory of Central Extensions and Twisted Equivariant K-theory: Sl3(Z) and St3(Z)

Noe Barcenas, Mario Velasquez

We compare twisted Equivariant K-theory of Sl3Z with untwisted equivariant K-Theory of its universal central extension, St3Z. Using universal coefficient theorems by the authors, t…

math.KT2013★ 1 cited

Bredon Cohomology, K theory and K homology of Pullbacks of groups

Noe Barcenas, Daniel Juan-Pineda, Mario Velasquez

We develop an Eilenberg-Moore spectral sequence to compute Bredon cohomology of spaces with an action of a group given as a pullback. Using several other spectral sequences, and po…

math.KT2013★ 15 cited

Segal's spectral sequence in twisted equivariant K-theory for proper and discrete actions

Noe Barcenas, Jesus Espinoza, Bernardo Uribe +1

We use a spectral sequence developed by Graeme Segal in order to understand the twisted G-equivariant K-theory for proper and discrete actions. We show that the second page of this…

math.KT2013★ 6 cited

Twisted equivariant K- Theory and K-Homology of Sl3(Z)

Noe Barcenas, Mario Velasquez

Replaces Previous version. Includes comments on poincare duality for twisted equivariant in the context of proper and discrete actions and the Baum-Connes Conjecture. We use a spec…