4 papers
The Abel Summation Method and Infinite Euler Characteristic
Thomas Huettemann, Dan Kucerovsky
We develop a finiteness notion for unbounded chain complexes over a commutative noetherian integral domain employing the Abel summation method. The algebraic K-theory of such c…
An Euler Characteristic for Unbounded Chain Complexes
Thomas Huettemann, Dan Kucerovsky
We propose a definition of an Euler characteristic for unbounded chain complexes by taking the (usual) Euler characteristics of successively longer parts of the complex, weighted i…
Remarks on computing the Grothendieck rings of C*-algebras
E. Ghamari, C. Ingalls, D. Kucerovsky
In this paper, we present a captivating construction by Grothendieck, originally formulated for algebraic varieties, and adapt it to the realm of C*-algebras. Our main objective is…
A short proof of an index theorem, II
Y. Abdolmaleki, D. Kucerovsky
We introduce a slight modification of the usual equivariant -theory. We use this to give a -theoretical proof of an equivariant index theorem for Dirac-Schrodinger operator…