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A map from a $ G_1 $ - equivariant KK-theory of Kasparov, to a $ G_2 $ - equivariant KK-theory of Kasparov

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#operator-algebras #c-star-algebras #k-theory #topological-k-theory
80
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Equivalence of two definitions of $K^{-1}$ in complex $K$-theory

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#algebraic-topology #homology-cohomology #k-theory #topological-k-theory
173
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About the K-theory of rational rotation algebras

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#c-star-algebras #k-theory
158
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What is the meaning of $KO^{-1}(S^1)$?

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#vector-bundles #characteristic-classes #k-theory #topological-k-theory
207
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Help with the setup for Atiyah's proof of Bott Periodicity.

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#algebraic-topology #k-theory #topological-k-theory
216
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On stable isomorphism of separable nuclear C$^*$-algebras and Morita equivalence

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#c-star-algebras #compact-operators #k-theory
143
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Example of a space whose complex K-theory is not easily computable from singular cohomology

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#algebraic-topology #k-theory #topological-k-theory
51
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Definition of odd topological K-theory using circles

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#homology-cohomology #vector-bundles #k-theory #topological-k-theory
90
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Elementary computations for hermitian and non-hermitian algebraic K-theory

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#abstract-algebra #reference-request #k-theory #algebraic-k-theory
2.3k
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K Theory: Book Recommendations

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#reference-request #book-recommendation #projective-module #k-theory #algebraic-k-theory
55
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Do group actions on smooth algebraic varieties induce group actions on K-theory?

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#representation-theory #k-theory
118
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Bounding $\|e^{2\pi iq}-1\|$ for $q$ an almost idempotent

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#functional-analysis #operator-algebras #c-star-algebras #k-theory
58
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How to compute $K_0(S^1)$?

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#circles #k-theory
66
Views

What is the usual defintion of $K_1$ group?

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#operator-theory #c-star-algebras #k-theory
76
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Is the KO dimension of commutative real spectral triple agree with it's dimension of the manifold?

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#riemannian-geometry #operator-algebras #k-theory #noncommutative-geometry

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