Cellular filtration of K-theory and determinants of $C^*$-algebras

DOI10.1090/S0002-9939-97-03857-4zbMath0883.46042OpenAlexW1493568410MaRDI QIDQ4372320

Liangqing Li

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03857-4

zbMATH Keywords

tracematrix valued functionBott elementcellular filtration of K-theorydeterminants of \(C^*\)-algebrassmooth family of homomorphisms

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Index theory (19K56)

Cites Work

• Rotation numbers for automorphisms of \(C^ *\)-algebras
• Reduction of real rank in inductive limits of \(C^*\)-algebras
• AF embeddings of \(C(\mathbb{T}^ 2)\) with a prescribed \(K\)-theory
• On the classification of C*-algebras of real rank zero.
• Extending Cellular Cohomology to C ∗ -Algebras
• On Inductive Limits of Matrix Algebras over the Two-Torus