# Lectures on Topics in Algebraic K-Theory

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## Twisted iterated algebraic K-theory and topological T-duality for sphere bundles - INSPIRE-HEP

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One s of this is the infected Hastert Rule. Algebra , 19 , — ; MR , 45 Algebra , 18 , 51—88 ; MR , 43 Paris , , Al —; MR , 45 Paris , , A—; MR , 40 Paris , , A—; MR , 41 L'ordre de K 3 Z", C.

Paris , , A67— Paris , , A—; MR , 45 Paris , , A— Nauk , 24 5 , 3—86; MR , 42 ; Russian Math. Surveys , 24 5 , 1— Mennicke J L, "Finite factor groups of the unimodular group", Ann. Milnor J, "Whitehead torsion", Bull. Milnor J, "Algebraic K-theory and quadratic forms", Invent.

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Milnor J, Introduction to algebraic K-theory , Univ. Mishchenko A S, "Homotopy invariants of multiply-connected manifolds. I, II", Izv.

## Lectures on topics in algebraic k-theory

Moore C C, "Group extensions of p-adic and adelic linear groups", Inst. Ecole Norm. Novikov S P, "Algebraic construction and properties of Hermitian analogues of K-theory over a ring with involution. SSSR Ser. Quillen D G, "Higher algebraic K-theory. I", Lecture Notes in Math.

### Summer Semester 2018

Ranicki A A, "Algebraic L,-theory. I, II", Proc.

Segal G, Categories and cohomology theories, Topology , 13 , — Applications", Ann. USA , 44 , — ; MR , 21 Algebra , 19 , — ; MR , 44 Suslin A A, "On projective modules over polynomial rings", Mat. Swan R, "Induced representations and projective modules", Ann. Swan R, "Non-abelian homological algebra and K-theory", Proc. Swan R, "Some relations between higher K-functors", J. Algebra , 21 , — Swan R, "A cancellation theorem for projective modules in the metastable range", Invent.

Mathematiciens, Nice , 1 , — Vasershtein L N, "K 1 -theory and the congruence problem", Mat. Zametki , 5 , —; MR , 40 ; Math.