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15
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Confusion about relationship between operator $K$-theory and topological $K$-theory

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#proof-verification #operator-theory #vector-bundles #k-theory #topological-k-theory
115
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AF-algebras and K-theory

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#operator-algebras #c-star-algebras #k-theory
79
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An immediate result of fundamental theorem of algebraic $K$-theory.

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#abstract-algebra #k-theory #algebraic-k-theory
64
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Opposite effective classes in a Grothendieck group

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#homological-algebra #abelian-categories #k-theory
153
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Trivial K-theory implies trivial K-theory of hereditary corners?

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#operator-algebras #c-star-algebras #k-theory
156
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Are there examples of unital and nuclear $C^*$-algebras satisfying the UCT that are not groupoid algebras of an amenable etale groupoid?

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#operator-algebras #k-theory #groupoids
79
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Algebraic $K_2$ as "universal receptacle"?

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#k-theory #algebraic-k-theory
43
Views

How is $K(X\times S^2)$ a $K(X)$ module ?

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#algebraic-topology #k-theory #topological-k-theory
147
Views

Traces on $K(H)$

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#operator-theory #operator-algebras #c-star-algebras #von-neumann-algebras #k-theory
41
Views

Adams operations and an artificial grading on K-theory

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#lie-groups #exterior-algebra #graded-rings #spectral-sequences #k-theory
302
Views

Orthogonal complement of a vector bundle over paracompact base

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#vector-bundles #k-theory
54
Views

Why is $U_n^+(A)/U_n^+(A)_0\simeq U_n(A^+)/U_n(A^+)_0$ for a unital C*-algebra $A$?

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#operator-algebras #c-star-algebras #k-theory
124
Views

K-theory and Clifford modules

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#abstract-algebra #clifford-algebras #k-theory
71
Views

question about one possible way of constructing Grothendieck group

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#abstract-algebra #k-theory
47
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higher K-theory: suspensions vs Clifford module bundles

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#abstract-algebra #algebraic-topology #vector-bundles #k-theory

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