Lefschetz numbers and geometry of operators in \(W^*\)-modules

DOI10.1007/BF02509618zbMath0922.58081arXivfunct-an/9501007OpenAlexW1970658072MaRDI QIDQ1364870

Michael Frank, Evgenij V. Troitsky

Publication date: 4 November 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9501007

zbMATH Keywords

\(K\)-theoryLefschetz number\(C^*\)-moduleelliptic complex\(A\)-elliptic complex\(W^*\)-modulecharacter-valued Atiyah-Singer indexcyclic-homology-valued Lefschetz numbers

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Exotic index theories on manifolds (58J22) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Chain complexes (category-theoretic aspects), dg categories (18G35) Index theory (19K56)

Related Items (5)

Orthogonal decompositions in Hilbert \(A\)-modules ⋮ Hilbert \(C^*\)-modules with Hilbert dual and \(C^*\)-Fredholm operators ⋮ Hodge theory for elliptic complexes over unital \(C^\ast\)-algebras ⋮ On operators with closed range and semi-Fredholm operators over \(W^*\)-algebras ⋮ Hilbert \(C^*\) and \(W^*\)-modules and their morphisms

Cites Work

• Non-commutative differential geometry
• The index of equivariant elliptic operators over \(C^*\)-algebras
• Injective Hilbert \(C^*\)-modules
• Self-duality and \(C^*\)-reflexivity of Hilbert \(C^*\)-moduli
• The Double B-Dual Of An Inner Product Module Over a C*-Algebra B
• Hilbert C*‐Modules over Monotone Complete C*‐Algebras
• Inner Product Modules Over B ∗ -Algebras
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