nLab Joachim Cuntz

Joachim Cuntz is a mathematician at Münster, Germany. His central interests include functional analysis, operator algebras, homological algebra (especially cyclic homology) and noncommutative geometry. He also studied regularity and smoothness conditions in ring theory.

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Selected writings

Generalization of Kuiper's theorem from Hilbert spaces to Hilbert modules:

• Joachim Cuntz, Nigel Higson: Kuiper’s Theorem for Hilbert Modules, in Operator Algebras and Mathematical Physic Contemporary Mathematics 62, American Mathematical Society (1987) 429-435 [ISBN:978-0-8218-7652-7, pdf]

On C-star algebras:

• J. Cuntz, Dimension function on simple $C^\ast$-algebras, pdf

See also:

• J. Cuntz, D. Quillen, Algebra extensions and nonsingularity, J. Amer. Math. Soc. 8 (1995), no. 2, 251–289, MR96c:19002, doi;

• Cyclic homology and nonsingularity, J. Amer. Math. Soc. 8 (1995), no. 2, 373–442, MR96e:19004, doi

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