Algebraic K-theory and properly infinite C*-algebras

TL;DR

This paper extends known algebraic K-theory results from tensor products with compact operators to tensor products with any properly infinite C*-algebra, broadening the scope of existing theorems.

Contribution

It generalizes previous results on algebraic K-theory of tensor products to include all properly infinite C*-algebras, not just compact operators.

Findings

Results about algebraic K-theory hold for tensor products with any properly infinite C*-algebra.

The validity of known algebraic K-theory results is preserved in this broader context.

The paper confirms the robustness of algebraic K-theory properties across a wider class of C*-algebras.

Abstract

We show that several known results about the algebraic K-theory of tensor products of algebras with the C*-algebra of compact operators in Hilbert space remain valid for tensor products with any properly infinite C*-algebra.