EUDML

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Equivariant rigidity theorems.

Moussong, Gábor; Prassidis, Stratos — 2004

The New York Journal of Mathematics [electronic only]

Equivariant approximate fibrations.

Stratos Prassidis — 1995

Forum mathematicum

Coverings, Laplacians, and heat kernels of directed graphs.

Brasseur, Clara E.; Grady, Ryan E.; Prassidis, Stratos — 2009

The Electronic Journal of Combinatorics [electronic only]

Waldhausen’s Nil groups and continuously controlled K-theory

Hans Munkholm; Stratos Prassidis — 1999

Fundamenta Mathematicae

Let $Γ = Γ_{1} *_{G} Γ_{2}$ be the pushout of two groups $Γ_{i}$ , i = 1,2, over a common subgroup G, and H be the double mapping cylinder of the corresponding diagram of classifying spaces $B Γ_{1} \leftarrow B G \leftarrow B Γ_{2}$ . Denote by ξ the diagram $I \frac{p}{\leftarrow} H \frac{1}{\to} X = H$ , where p is the natural map onto the unit interval. We show that the $N i l^{\sim}$ groups which occur in Waldhausen’s description of $K_{*} (ℤ Γ)$ coincide with the continuously controlled groups $_{*}^{c c} (ξ)$ , defined by Anderson and Munkholm. This also allows us to identify the continuously controlled groups $_{*}^{c c} (ξ^{+})$ which are known to form a homology...

On the exponent of the cokernel of the forget-control map on K₀-groups

Francis X. Connolly; Stratos Prassidis — 2002

Fundamenta Mathematicae

For groups that satisfy the Isomorphism Conjecture in lower K-theory, we show that the cokernel of the forget-control K₀-groups is composed by the NK₀-groups of the finite subgroups. Using this information, we can calculate the exponent of each element in the cokernel in terms of the torsion of the group.

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