Algebras almost commuting with Clifford algebras

DOI10.1016/0022-1236(90)90107-VzbMath0725.46042OpenAlexW2075711522MaRDI QIDQ2276729

David E. Evans, Alan L. Carey

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90107-v

zbMATH Keywords

periodicityGrothendieck groupsClifford algebraKK-groupsK-groupssymmetric idealhomotopy classes of *-homomorphisms

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Clifford algebras, spinors (15A66)

Related Items (4)

Locally equivalent quasifree states and index theory ⋮ Classes of idempotents in Hilbert space ⋮ Essentially commuting projections ⋮ Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor

Cites Work

• Automorphisms of the infinite dimensional Clifford algebra and the Atiyah-Singer mod 2 index
• On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model
• Some infinite dimensional groups and bundles
• Caractère multiplicatif d'un module de Fredholm. (Multiplicative character of a Fredholm module)
• K-theory for commutants in the Calkin algebra
• A \(C^*\)-algebra of the twodimensional Ising model
• The homotopy type of the unitary group of Hilbert space
• Clifford modules
• Index theory for skew-adjoint Fredholm operators
• Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
• Morse Theory. (AM-51)
• THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS
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